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2007.08472
Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts Query: Density reconstruction from biased tracers and its application to primordial non-Gaussianity Large-scale Fourier modes of the cosmic density field are of great value for learning about cosmology because of their well-understood relationship to fluctuations in the early universe. However, cosmic variance generally limits the statistical precision that can be achieved when constraining model parameters using these modes as measured in galaxy surveys, and moreover, these modes are sometimes inaccessible due to observational systematics or foregrounds. For some applications, both limitations can be circumvented by reconstructing large-scale modes using the correlations they induce between smaller-scale modes of an observed tracer (such as galaxy positions). In this paper, we further develop a formalism for this reconstruction, using a quadratic estimator similar to the one used for lensing of the cosmic microwave background. We incorporate nonlinearities from gravity, nonlinear biasing, and local-type primordial non-Gaussianity, and verify that the estimator gives the expected results when applied to N-body simulations. We then carry out forecasts for several upcoming surveys, demonstrating that, when reconstructed modes are included alongside directly-observed tracer density modes, constraints on local primordial non-Gaussianity are generically tightened by tens of percents compared to standard single-tracer analyses. In certain cases, these improvements arise from cosmic variance cancellation, with reconstructed modes taking the place of modes of a separate tracer, thus enabling an effective "multitracer" approach with single-tracer observations.
[ { "docid": "6", "text": "The categories of this paper are: astro-ph", "title": "" } ]
[ { "docid": "10", "text": "The categories of this paper are: q-bio", "title": "" }, { "docid": "29", "text": "The categories of this paper are: funct-an", "title": "" }, { "docid": "31", "text": "The categories of this paper are: ao-sci", "title": "" }, { "docid": "24", "text": "The categories of this paper are: dg-ga", "title": "" }, { "docid": "3", "text": "The categories of this paper are: physics", "title": "" }, { "docid": "28", "text": "The categories of this paper are: alg-geom", "title": "" }, { "docid": "19", "text": "The categories of this paper are: eess", "title": "" }, { "docid": "11", "text": "The categories of this paper are: hep-lat", "title": "" }, { "docid": "35", "text": "The categories of this paper are: mtrl-th", "title": "" }, { "docid": "4", "text": "The categories of this paper are: cond-mat", "title": "" }, { "docid": "14", "text": "The categories of this paper are: math-ph", "title": "" }, { "docid": "13", "text": "The categories of this paper are: quant-ph", "title": "" }, { "docid": "20", "text": "The categories of this paper are: acc-phys", "title": "" }, { "docid": "32", "text": "The categories of this paper are: atom-ph", "title": "" }, { "docid": "15", "text": "The categories of this paper are: nucl-ex", "title": "" }, { "docid": "16", "text": "The categories of this paper are: stat", "title": "" } ]
1909.01966
Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts Query: The ML-EM algorithm in continuum: sparse measure solutions Linear inverse problems $A \mu = \delta$ with Poisson noise and non-negative unknown $\mu \geq 0$ are ubiquitous in applications, for instance in Positron Emission Tomography (PET) in medical imaging. The associated maximum likelihood problem is routinely solved using an expectation-maximisation algorithm (ML-EM). This typically results in images which look spiky, even with early stopping. We give an explanation for this phenomenon. We first regard the image $\mu$ as a measure. We prove that if the measurements $\delta$ are not in the cone $\{A \mu, \mu \geq 0\}$, which is typical of short exposure times, likelihood maximisers as well as ML-EM cluster points must be sparse, i.e., typically a sum of point masses. On the other hand, in the long exposure regime, we prove that cluster points of ML-EM will be measures without singular part. Finally, we provide concentration bounds for the probability to be in the sparse case.
[ { "docid": "1", "text": "The categories of this paper are: cs", "title": "" }, { "docid": "2", "text": "The categories of this paper are: math", "title": "" } ]
[ { "docid": "4", "text": "The categories of this paper are: cond-mat", "title": "" }, { "docid": "25", "text": "The categories of this paper are: patt-sol", "title": "" }, { "docid": "9", "text": "The categories of this paper are: nlin", "title": "" }, { "docid": "31", "text": "The categories of this paper are: ao-sci", "title": "" }, { "docid": "6", "text": "The categories of this paper are: astro-ph", "title": "" }, { "docid": "20", "text": "The categories of this paper are: acc-phys", "title": "" }, { "docid": "17", "text": "The categories of this paper are: q-fin", "title": "" }, { "docid": "19", "text": "The categories of this paper are: eess", "title": "" }, { "docid": "12", "text": "The categories of this paper are: nucl-th", "title": "" }, { "docid": "18", "text": "The categories of this paper are: econ", "title": "" }, { "docid": "23", "text": "The categories of this paper are: solv-int", "title": "" }, { "docid": "26", "text": "The categories of this paper are: bayes-an", "title": "" }, { "docid": "33", "text": "The categories of this paper are: plasm-ph", "title": "" }, { "docid": "0", "text": "The categories of this paper are: hep-ph", "title": "" }, { "docid": "14", "text": "The categories of this paper are: math-ph", "title": "" }, { "docid": "36", "text": "The categories of this paper are: cmp-lg", "title": "" } ]
2105.10960
Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts Query: Interacting 2D Field-Theoretic Model for Hodge Theory We take up the St${\ddot u}$ckelberg-modified version of the two (1+1)-dimensional (2D) Proca theory, in interaction with the Dirac fields, to study its various continuous and discrete symmetry transformations and show that this specific interacting 2D field-theoretic model provides a tractable example for the Hodge theory because its symmetries (and corresponding conserved charges) provide the physical realizations of the de Rham cohomological operators of differential geometry at the algebraic level. The physical state of this theory is chosen to be the harmonic state (of the Hodge decomposed state) in the quantum Hilbert space which is annihilated by the conserved and nilpotent (anti-)BRST as well as (anti-)co-BRST charges. A physical consequence of this study is an observation that the 2D anomaly, at the quantum level, does not lead to any problem as far as the consistency and unitarity of our present 2D theory is concerned. In other words, our present 2D field-theoretic model is amenable to particle interpretation despite the presence of the local chiral symmetry (which is associated with the nilpotent (anti-)co-BRST symmetry transformations) besides the presence of the nilpotent (anti-)BRST symmetries (which are connected with the local gauge symmetry). The physicality condition with the (anti-)co-BRST charges implies that the 2D anomaly term is trivial in our present theory. Hence, our 2D theory is consistent, unitary and amenable to particle interpretation.
[ { "docid": "7", "text": "The categories of this paper are: hep-th", "title": "" } ]
[ { "docid": "31", "text": "The categories of this paper are: ao-sci", "title": "" }, { "docid": "34", "text": "The categories of this paper are: chem-ph", "title": "" }, { "docid": "35", "text": "The categories of this paper are: mtrl-th", "title": "" }, { "docid": "19", "text": "The categories of this paper are: eess", "title": "" }, { "docid": "11", "text": "The categories of this paper are: hep-lat", "title": "" }, { "docid": "27", "text": "The categories of this paper are: comp-gas", "title": "" }, { "docid": "23", "text": "The categories of this paper are: solv-int", "title": "" }, { "docid": "2", "text": "The categories of this paper are: math", "title": "" }, { "docid": "3", "text": "The categories of this paper are: physics", "title": "" }, { "docid": "28", "text": "The categories of this paper are: alg-geom", "title": "" }, { "docid": "32", "text": "The categories of this paper are: atom-ph", "title": "" }, { "docid": "5", "text": "The categories of this paper are: gr-qc", "title": "" }, { "docid": "12", "text": "The categories of this paper are: nucl-th", "title": "" }, { "docid": "16", "text": "The categories of this paper are: stat", "title": "" }, { "docid": "10", "text": "The categories of this paper are: q-bio", "title": "" }, { "docid": "18", "text": "The categories of this paper are: econ", "title": "" } ]
2203.13774
Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts Query: Picosecond timing of charged particles using the TORCH detector TORCH is a large-area, high-precision time-of-flight (ToF) detector designed to provide charged-particle identification in the 2-20 GeV$/c$ momentum range. Prompt Cherenkov photons emitted by charged hadrons as they traverse a 10mm quartz radiator are propagated to the periphery of the detector, where they are focused onto an array of micro-channel plate photomultiplier tubes (MCP-PMTs). The position and arrival times of the photons are used to infer the particles' time of entry in the radiator, to identify hadrons based on their ToF. The MCP-PMTs were developed with an industrial partner to satisfy the stringent requirements of the TORCH detector. The requirements include a finely segmented anode, excellent time resolution, and a long lifetime. Over an approximately 10m flight distance, the difference in ToF between a kaon and a pion with 10GeV$/c$ momentum is 35ps, leading to a 10-15ps per track timing resolution requirement. On average 30 photons per hadron are detected, which translates to a single-photon time resolution of 70ps. The TORCH research and development program aims to demonstrate the validity of the detector concept through laboratory and beam tests, results from which are presented. A timing resolution of 70-100ps was reached in beam tests, approaching the TORCH design goal. Laboratory timing tests consist of operating the MCP-PMTs coupled to the TORCH readout electronics. A time resolution of about 50ps was measured, meeting the TORCH target timing resolution.
[ { "docid": "8", "text": "The categories of this paper are: hep-ex", "title": "" }, { "docid": "3", "text": "The categories of this paper are: physics", "title": "" } ]
[ { "docid": "10", "text": "The categories of this paper are: q-bio", "title": "" }, { "docid": "21", "text": "The categories of this paper are: adap-org", "title": "" }, { "docid": "18", "text": "The categories of this paper are: econ", "title": "" }, { "docid": "4", "text": "The categories of this paper are: cond-mat", "title": "" }, { "docid": "0", "text": "The categories of this paper are: hep-ph", "title": "" }, { "docid": "9", "text": "The categories of this paper are: nlin", "title": "" }, { "docid": "23", "text": "The categories of this paper are: solv-int", "title": "" }, { "docid": "32", "text": "The categories of this paper are: atom-ph", "title": "" }, { "docid": "13", "text": "The categories of this paper are: quant-ph", "title": "" }, { "docid": "33", "text": "The categories of this paper are: plasm-ph", "title": "" }, { "docid": "6", "text": "The categories of this paper are: astro-ph", "title": "" }, { "docid": "37", "text": "The categories of this paper are: supr-con", "title": "" }, { "docid": "2", "text": "The categories of this paper are: math", "title": "" }, { "docid": "1", "text": "The categories of this paper are: cs", "title": "" }, { "docid": "20", "text": "The categories of this paper are: acc-phys", "title": "" }, { "docid": "22", "text": "The categories of this paper are: chao-dyn", "title": "" } ]
hep-ex/0206005
Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts Query: Long baseline neutrino oscillation experiments Evidences for neutrino oscillations coming from atmospheric and solar observations can be probed by terrestrial long baseline experiments. This requires accelerator beams or nuclear power plants. The current status of these searches as well as future activities are discussed. A precise determination of all matrix elements and searches for a leptonic CP-violation will be possible with high intensity accelerator beams currently discussed in the context of neutrino factories.
[ { "docid": "8", "text": "The categories of this paper are: hep-ex", "title": "" }, { "docid": "0", "text": "The categories of this paper are: hep-ph", "title": "" } ]
[ { "docid": "20", "text": "The categories of this paper are: acc-phys", "title": "" }, { "docid": "26", "text": "The categories of this paper are: bayes-an", "title": "" }, { "docid": "25", "text": "The categories of this paper are: patt-sol", "title": "" }, { "docid": "27", "text": "The categories of this paper are: comp-gas", "title": "" }, { "docid": "3", "text": "The categories of this paper are: physics", "title": "" }, { "docid": "17", "text": "The categories of this paper are: q-fin", "title": "" }, { "docid": "21", "text": "The categories of this paper are: adap-org", "title": "" }, { "docid": "16", "text": "The categories of this paper are: stat", "title": "" }, { "docid": "10", "text": "The categories of this paper are: q-bio", "title": "" }, { "docid": "31", "text": "The categories of this paper are: ao-sci", "title": "" }, { "docid": "28", "text": "The categories of this paper are: alg-geom", "title": "" }, { "docid": "24", "text": "The categories of this paper are: dg-ga", "title": "" }, { "docid": "32", "text": "The categories of this paper are: atom-ph", "title": "" }, { "docid": "14", "text": "The categories of this paper are: math-ph", "title": "" }, { "docid": "30", "text": "The categories of this paper are: q-alg", "title": "" }, { "docid": "4", "text": "The categories of this paper are: cond-mat", "title": "" } ]
1511.00679
Instruct: Identify the main and secondary category of Arxiv papers based on the titles Query: On intra-regular and left regular and left duo ordered $\Gamma$-semigroups
[ { "docid": "2", "text": "The categories of this paper are: math", "title": "" } ]
[ { "docid": "27", "text": "The categories of this paper are: comp-gas", "title": "" }, { "docid": "22", "text": "The categories of this paper are: chao-dyn", "title": "" }, { "docid": "19", "text": "The categories of this paper are: eess", "title": "" }, { "docid": "7", "text": "The categories of this paper are: hep-th", "title": "" }, { "docid": "18", "text": "The categories of this paper are: econ", "title": "" }, { "docid": "3", "text": "The categories of this paper are: physics", "title": "" }, { "docid": "31", "text": "The categories of this paper are: ao-sci", "title": "" }, { "docid": "0", "text": "The categories of this paper are: hep-ph", "title": "" }, { "docid": "29", "text": "The categories of this paper are: funct-an", "title": "" }, { "docid": "16", "text": "The categories of this paper are: stat", "title": "" }, { "docid": "15", "text": "The categories of this paper are: nucl-ex", "title": "" }, { "docid": "26", "text": "The categories of this paper are: bayes-an", "title": "" }, { "docid": "33", "text": "The categories of this paper are: plasm-ph", "title": "" }, { "docid": "24", "text": "The categories of this paper are: dg-ga", "title": "" }, { "docid": "36", "text": "The categories of this paper are: cmp-lg", "title": "" }, { "docid": "13", "text": "The categories of this paper are: quant-ph", "title": "" } ]
1909.12398
Instruct: Identify the main and secondary category of Arxiv papers based on the titles Query: Optimizing Nondecomposable Data Dependent Regularizers via Lagrangian Reparameterization offers Significant Performance and Efficiency Gains
[ { "docid": "1", "text": "The categories of this paper are: cs", "title": "" } ]
[ { "docid": "13", "text": "The categories of this paper are: quant-ph", "title": "" }, { "docid": "16", "text": "The categories of this paper are: stat", "title": "" }, { "docid": "34", "text": "The categories of this paper are: chem-ph", "title": "" }, { "docid": "8", "text": "The categories of this paper are: hep-ex", "title": "" }, { "docid": "3", "text": "The categories of this paper are: physics", "title": "" }, { "docid": "28", "text": "The categories of this paper are: alg-geom", "title": "" }, { "docid": "37", "text": "The categories of this paper are: supr-con", "title": "" }, { "docid": "17", "text": "The categories of this paper are: q-fin", "title": "" }, { "docid": "5", "text": "The categories of this paper are: gr-qc", "title": "" }, { "docid": "31", "text": "The categories of this paper are: ao-sci", "title": "" }, { "docid": "6", "text": "The categories of this paper are: astro-ph", "title": "" }, { "docid": "33", "text": "The categories of this paper are: plasm-ph", "title": "" }, { "docid": "22", "text": "The categories of this paper are: chao-dyn", "title": "" }, { "docid": "19", "text": "The categories of this paper are: eess", "title": "" }, { "docid": "30", "text": "The categories of this paper are: q-alg", "title": "" }, { "docid": "26", "text": "The categories of this paper are: bayes-an", "title": "" } ]
1802.01547
Instruct: Identify the main and secondary category of Arxiv papers based on the titles Query: Dunkl-Schr\"odinger operators
[ { "docid": "2", "text": "The categories of this paper are: math", "title": "" } ]
[ { "docid": "6", "text": "The categories of this paper are: astro-ph", "title": "" }, { "docid": "15", "text": "The categories of this paper are: nucl-ex", "title": "" }, { "docid": "34", "text": "The categories of this paper are: chem-ph", "title": "" }, { "docid": "19", "text": "The categories of this paper are: eess", "title": "" }, { "docid": "31", "text": "The categories of this paper are: ao-sci", "title": "" }, { "docid": "32", "text": "The categories of this paper are: atom-ph", "title": "" }, { "docid": "0", "text": "The categories of this paper are: hep-ph", "title": "" }, { "docid": "23", "text": "The categories of this paper are: solv-int", "title": "" }, { "docid": "5", "text": "The categories of this paper are: gr-qc", "title": "" }, { "docid": "10", "text": "The categories of this paper are: q-bio", "title": "" }, { "docid": "13", "text": "The categories of this paper are: quant-ph", "title": "" }, { "docid": "1", "text": "The categories of this paper are: cs", "title": "" }, { "docid": "18", "text": "The categories of this paper are: econ", "title": "" }, { "docid": "3", "text": "The categories of this paper are: physics", "title": "" }, { "docid": "25", "text": "The categories of this paper are: patt-sol", "title": "" }, { "docid": "36", "text": "The categories of this paper are: cmp-lg", "title": "" } ]
1703.01035
Instruct: Identify the main and secondary category of Arxiv papers based on the titles Query: Meson Spectral Functions at Finite Temperature and Isospin Density with Functional Renormalization Group
[ { "docid": "0", "text": "The categories of this paper are: hep-ph", "title": "" }, { "docid": "12", "text": "The categories of this paper are: nucl-th", "title": "" } ]
[ { "docid": "37", "text": "The categories of this paper are: supr-con", "title": "" }, { "docid": "4", "text": "The categories of this paper are: cond-mat", "title": "" }, { "docid": "21", "text": "The categories of this paper are: adap-org", "title": "" }, { "docid": "35", "text": "The categories of this paper are: mtrl-th", "title": "" }, { "docid": "17", "text": "The categories of this paper are: q-fin", "title": "" }, { "docid": "30", "text": "The categories of this paper are: q-alg", "title": "" }, { "docid": "2", "text": "The categories of this paper are: math", "title": "" }, { "docid": "10", "text": "The categories of this paper are: q-bio", "title": "" }, { "docid": "31", "text": "The categories of this paper are: ao-sci", "title": "" }, { "docid": "9", "text": "The categories of this paper are: nlin", "title": "" }, { "docid": "25", "text": "The categories of this paper are: patt-sol", "title": "" }, { "docid": "5", "text": "The categories of this paper are: gr-qc", "title": "" }, { "docid": "26", "text": "The categories of this paper are: bayes-an", "title": "" }, { "docid": "13", "text": "The categories of this paper are: quant-ph", "title": "" }, { "docid": "6", "text": "The categories of this paper are: astro-ph", "title": "" }, { "docid": "1", "text": "The categories of this paper are: cs", "title": "" } ]
10.1101/2022.03.03.482858
Instruct: Identify the main category of Biorxiv papers based on the titles Query: Helminth parasites decrease survival probability in young red deer
[ { "docid": "7", "text": "The categories of this paper are: ecology", "title": "" } ]
[ { "docid": "15", "text": "The categories of this paper are: developmental", "title": "" }, { "docid": "10", "text": "The categories of this paper are: and", "title": "" }, { "docid": "14", "text": "The categories of this paper are: biophysics", "title": "" }, { "docid": "25", "text": "The categories of this paper are: bioengineering", "title": "" }, { "docid": "19", "text": "The categories of this paper are: epidemiology", "title": "" }, { "docid": "28", "text": "The categories of this paper are: communication", "title": "" }, { "docid": "9", "text": "The categories of this paper are: synthetic", "title": "" }, { "docid": "4", "text": "The categories of this paper are: neuroscience", "title": "" }, { "docid": "13", "text": "The categories of this paper are: animal", "title": "" }, { "docid": "1", "text": "The categories of this paper are: bioinformatics", "title": "" }, { "docid": "23", "text": "The categories of this paper are: immunology", "title": "" }, { "docid": "0", "text": "The categories of this paper are: genetics", "title": "" }, { "docid": "31", "text": "The categories of this paper are: paleontology", "title": "" }, { "docid": "5", "text": "The categories of this paper are: cell", "title": "" }, { "docid": "20", "text": "The categories of this paper are: pharmacology", "title": "" }, { "docid": "30", "text": "The categories of this paper are: scientific", "title": "" } ]
1802.10534
Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts Query: Voigt effect-based wide-field magneto-optical microscope integrated in a pump-probe experimental setup In this work we describe an experimental setup for spatially-resolved pump-probe experiment with integrated wide-field magneto-optical (MO) microscope. The MO microscope can be used to study ferromagnetic materials with both perpendicular-to-plane and in-plane magnetic anisotropy via polar Kerr and Voigt effects, respectively. The functionality of the Voigt effect-based microscope was tested using an in-plane magnetized ferromagnetic semiconductor (Ga,Mn)As. It was revealed that the presence of mechanical defects in the (Ga,Mn)As epilayer alters significantly the magnetic anisotropy in their proximity. The importance of MO experiments with simultaneous temporal and spatial resolutions was demonstrated using (Ga,Mn)As sample attached to a piezoelectric actuator, which produces a voltage-controlled strain. We observed a considerably different behavior in different parts of the sample that enabled us to identify sample parts where the epilayer magnetic anisotropy was significantly modified by a presence of the piezostressor and where it was not. Finally, we discuss the possible applicability of our experimental setup for the research of compensated antiferromagnets, where only MO effects even in magnetic moments are present.
[ { "docid": "4", "text": "The categories of this paper are: cond-mat", "title": "" } ]
[ { "docid": "9", "text": "The categories of this paper are: nlin", "title": "" }, { "docid": "32", "text": "The categories of this paper are: atom-ph", "title": "" }, { "docid": "19", "text": "The categories of this paper are: eess", "title": "" }, { "docid": "21", "text": "The categories of this paper are: adap-org", "title": "" }, { "docid": "24", "text": "The categories of this paper are: dg-ga", "title": "" }, { "docid": "1", "text": "The categories of this paper are: cs", "title": "" }, { "docid": "6", "text": "The categories of this paper are: astro-ph", "title": "" }, { "docid": "34", "text": "The categories of this paper are: chem-ph", "title": "" }, { "docid": "14", "text": "The categories of this paper are: math-ph", "title": "" }, { "docid": "15", "text": "The categories of this paper are: nucl-ex", "title": "" }, { "docid": "5", "text": "The categories of this paper are: gr-qc", "title": "" }, { "docid": "27", "text": "The categories of this paper are: comp-gas", "title": "" }, { "docid": "23", "text": "The categories of this paper are: solv-int", "title": "" }, { "docid": "12", "text": "The categories of this paper are: nucl-th", "title": "" }, { "docid": "0", "text": "The categories of this paper are: hep-ph", "title": "" }, { "docid": "37", "text": "The categories of this paper are: supr-con", "title": "" } ]
2105.11757
Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts Query: Benzene Radical Anion Microsolvated in Ammonia Clusters: Modelling the Transition from an Unbound Resonance to a Bound Species The benzene radical anion, well-known in organic chemistry as the first intermediate in the Birch reduction of benzene in liquid ammonia, exhibits intriguing properties from the point of view of quantum chemistry. Notably, it has the character of a metastable shape resonance in the gas phase, while measurements in solution find it to be experimentally detectable and stable. In this light, our previous calculations performed in bulk liquid ammonia explicitly reveal that solvation leads to stabilization. Here, we focus on the transition of the benzene radical anion from an unstable gas-phase ion to a fully solvated bound species by explicit ionization calculations of the radical anion solvated in molecular clusters of increasing size. The computational cost of the largest systems is mitigated by combining density functional theory with auxiliary methods including effective fragment potentials or approximating the bulk by polarizable continuum models. Using this methodology, we obtain the cluster size dependence of the vertical binding energy of the benzene radical anion converging to the value of $-$2.3 eV at a modest computational cost.
[ { "docid": "3", "text": "The categories of this paper are: physics", "title": "" } ]
[ { "docid": "25", "text": "The categories of this paper are: patt-sol", "title": "" }, { "docid": "18", "text": "The categories of this paper are: econ", "title": "" }, { "docid": "14", "text": "The categories of this paper are: math-ph", "title": "" }, { "docid": "32", "text": "The categories of this paper are: atom-ph", "title": "" }, { "docid": "23", "text": "The categories of this paper are: solv-int", "title": "" }, { "docid": "19", "text": "The categories of this paper are: eess", "title": "" }, { "docid": "2", "text": "The categories of this paper are: math", "title": "" }, { "docid": "29", "text": "The categories of this paper are: funct-an", "title": "" }, { "docid": "37", "text": "The categories of this paper are: supr-con", "title": "" }, { "docid": "16", "text": "The categories of this paper are: stat", "title": "" }, { "docid": "9", "text": "The categories of this paper are: nlin", "title": "" }, { "docid": "12", "text": "The categories of this paper are: nucl-th", "title": "" }, { "docid": "1", "text": "The categories of this paper are: cs", "title": "" }, { "docid": "4", "text": "The categories of this paper are: cond-mat", "title": "" }, { "docid": "36", "text": "The categories of this paper are: cmp-lg", "title": "" }, { "docid": "33", "text": "The categories of this paper are: plasm-ph", "title": "" } ]
1301.5631
Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts Query: Shift in weak phase $\gamma$ due to CP asymmetries in $D$ decays to two pseudoscalar mesons A difference of several tenths of a percent has been observed between the direct CP asymmetries of $D^0\to K^+K^-$ and $D^0\to \pi^+\pi^-$. It has been noted recently that CP asymmetries in such singly-Cabibbo-suppressed (SCS) decays can affect the determination of the weak phase $\gamma$ using the Gronau-London-Wyler method of comparing rates for $B^+ \to D K^+$ and $B^- \to D K^-$, where $D$ is a superposition of $D^0$ and $\od$ decaying to a CP eigenstate. Using an analysis of the CP asymmetries in SCS decays based on a $c \to u$ penguin amplitude with standard model weak phase but enhanced by CP-conserving strong interactions, we estimate typical shifts in $\gamma$ of several degrees and pinpoint measurements which would reduce uncertainties to an acceptable level.
[ { "docid": "8", "text": "The categories of this paper are: hep-ex", "title": "" }, { "docid": "0", "text": "The categories of this paper are: hep-ph", "title": "" } ]
[ { "docid": "7", "text": "The categories of this paper are: hep-th", "title": "" }, { "docid": "13", "text": "The categories of this paper are: quant-ph", "title": "" }, { "docid": "32", "text": "The categories of this paper are: atom-ph", "title": "" }, { "docid": "6", "text": "The categories of this paper are: astro-ph", "title": "" }, { "docid": "27", "text": "The categories of this paper are: comp-gas", "title": "" }, { "docid": "2", "text": "The categories of this paper are: math", "title": "" }, { "docid": "34", "text": "The categories of this paper are: chem-ph", "title": "" }, { "docid": "5", "text": "The categories of this paper are: gr-qc", "title": "" }, { "docid": "37", "text": "The categories of this paper are: supr-con", "title": "" }, { "docid": "31", "text": "The categories of this paper are: ao-sci", "title": "" }, { "docid": "36", "text": "The categories of this paper are: cmp-lg", "title": "" }, { "docid": "3", "text": "The categories of this paper are: physics", "title": "" }, { "docid": "25", "text": "The categories of this paper are: patt-sol", "title": "" }, { "docid": "30", "text": "The categories of this paper are: q-alg", "title": "" }, { "docid": "21", "text": "The categories of this paper are: adap-org", "title": "" }, { "docid": "29", "text": "The categories of this paper are: funct-an", "title": "" } ]
hep-th/0104229
Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts Query: Stable Solitons in Field Theory Models for Tachyon Condensation We study soliton solutions in scalar field theory with a variety of unbounded potentials. A subset of these potentials have Gaussian lump solutions and their fluctuation spectrum is governed by the harmonic oscillator problem. These lumps are unstable with one tachyonic mode. Soliton solutions in several other classes of potentials are stable and are of kink type. The problem of the stability of these solutions is related to a supersymmetric quantum mechanics problem. The fluctuation spectrum is not equispaced and does not contain any tachyonic mode. The lowest energy mode is the massless Goldstone mode which restores broken translation invariance.
[ { "docid": "7", "text": "The categories of this paper are: hep-th", "title": "" } ]
[ { "docid": "8", "text": "The categories of this paper are: hep-ex", "title": "" }, { "docid": "37", "text": "The categories of this paper are: supr-con", "title": "" }, { "docid": "31", "text": "The categories of this paper are: ao-sci", "title": "" }, { "docid": "19", "text": "The categories of this paper are: eess", "title": "" }, { "docid": "12", "text": "The categories of this paper are: nucl-th", "title": "" }, { "docid": "1", "text": "The categories of this paper are: cs", "title": "" }, { "docid": "4", "text": "The categories of this paper are: cond-mat", "title": "" }, { "docid": "10", "text": "The categories of this paper are: q-bio", "title": "" }, { "docid": "9", "text": "The categories of this paper are: nlin", "title": "" }, { "docid": "11", "text": "The categories of this paper are: hep-lat", "title": "" }, { "docid": "21", "text": "The categories of this paper are: adap-org", "title": "" }, { "docid": "18", "text": "The categories of this paper are: econ", "title": "" }, { "docid": "5", "text": "The categories of this paper are: gr-qc", "title": "" }, { "docid": "23", "text": "The categories of this paper are: solv-int", "title": "" }, { "docid": "32", "text": "The categories of this paper are: atom-ph", "title": "" }, { "docid": "33", "text": "The categories of this paper are: plasm-ph", "title": "" } ]
2008.04857
Instruct: Identify the main and secondary category of Arxiv papers based on the titles Query: Shape Coexistence at Zero Spin in 64Ni Driven by the Monopole Tensor Interaction
[ { "docid": "12", "text": "The categories of this paper are: nucl-th", "title": "" }, { "docid": "15", "text": "The categories of this paper are: nucl-ex", "title": "" } ]
[ { "docid": "30", "text": "The categories of this paper are: q-alg", "title": "" }, { "docid": "25", "text": "The categories of this paper are: patt-sol", "title": "" }, { "docid": "28", "text": "The categories of this paper are: alg-geom", "title": "" }, { "docid": "17", "text": "The categories of this paper are: q-fin", "title": "" }, { "docid": "24", "text": "The categories of this paper are: dg-ga", "title": "" }, { "docid": "29", "text": "The categories of this paper are: funct-an", "title": "" }, { "docid": "16", "text": "The categories of this paper are: stat", "title": "" }, { "docid": "21", "text": "The categories of this paper are: adap-org", "title": "" }, { "docid": "36", "text": "The categories of this paper are: cmp-lg", "title": "" }, { "docid": "13", "text": "The categories of this paper are: quant-ph", "title": "" }, { "docid": "10", "text": "The categories of this paper are: q-bio", "title": "" }, { "docid": "0", "text": "The categories of this paper are: hep-ph", "title": "" }, { "docid": "33", "text": "The categories of this paper are: plasm-ph", "title": "" }, { "docid": "6", "text": "The categories of this paper are: astro-ph", "title": "" }, { "docid": "7", "text": "The categories of this paper are: hep-th", "title": "" }, { "docid": "2", "text": "The categories of this paper are: math", "title": "" } ]
gr-qc/9304047
Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts Query: Invariant Connections with Torsion on Group Manifolds and Their Application in Kaluza-Klein Theories Invariant connections with torsion on simple group manifolds $S$ are studied and an explicit formula describing them is presented. This result is used for the dimensional reduction in a theory of multidimensional gravity with curvature squared terms on $M^{4} \times S$. We calculate the potential of scalar fields, emerging from extra components of the metric and torsion, and analyze the role of the torsion for the stability of spontaneous compactification.
[ { "docid": "5", "text": "The categories of this paper are: gr-qc", "title": "" } ]
[ { "docid": "26", "text": "The categories of this paper are: bayes-an", "title": "" }, { "docid": "23", "text": "The categories of this paper are: solv-int", "title": "" }, { "docid": "10", "text": "The categories of this paper are: q-bio", "title": "" }, { "docid": "7", "text": "The categories of this paper are: hep-th", "title": "" }, { "docid": "19", "text": "The categories of this paper are: eess", "title": "" }, { "docid": "31", "text": "The categories of this paper are: ao-sci", "title": "" }, { "docid": "15", "text": "The categories of this paper are: nucl-ex", "title": "" }, { "docid": "13", "text": "The categories of this paper are: quant-ph", "title": "" }, { "docid": "29", "text": "The categories of this paper are: funct-an", "title": "" }, { "docid": "27", "text": "The categories of this paper are: comp-gas", "title": "" }, { "docid": "32", "text": "The categories of this paper are: atom-ph", "title": "" }, { "docid": "34", "text": "The categories of this paper are: chem-ph", "title": "" }, { "docid": "36", "text": "The categories of this paper are: cmp-lg", "title": "" }, { "docid": "11", "text": "The categories of this paper are: hep-lat", "title": "" }, { "docid": "8", "text": "The categories of this paper are: hep-ex", "title": "" }, { "docid": "30", "text": "The categories of this paper are: q-alg", "title": "" } ]
quant-ph/0505049
Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts Query: Diffusion and entanglement of a kicked particle in an infinite square well under frequent measurements We investigate the dynamics of a kicked particle in an infinite square well undergoing frequent measurements of energy. For a large class of periodic kicking force, constant diffusion is found in such a non-KAM system. The influence of phase shift of the kicking potential on the short-time dynamical behavior is discussed. The general asymptotical measurement-assisted diffusion rate is obtained. The entanglement between the particle and the measuring apparatus is investigated. There exist two distinct dynamical behaviors of entanglement. The bipartite entanglement grows with the kicking steps and it gains larger value for the more chaotic system. However, the pairwise entanglement between the system of interest and the partial spins of the measuring apparatus decreases with the kicking steps. The relation between the entanglement and quantum diffusion is also analyzed. PACS numbers: 05.45.Mt, 03.65.Ta
[ { "docid": "13", "text": "The categories of this paper are: quant-ph", "title": "" } ]
[ { "docid": "6", "text": "The categories of this paper are: astro-ph", "title": "" }, { "docid": "18", "text": "The categories of this paper are: econ", "title": "" }, { "docid": "24", "text": "The categories of this paper are: dg-ga", "title": "" }, { "docid": "10", "text": "The categories of this paper are: q-bio", "title": "" }, { "docid": "36", "text": "The categories of this paper are: cmp-lg", "title": "" }, { "docid": "1", "text": "The categories of this paper are: cs", "title": "" }, { "docid": "12", "text": "The categories of this paper are: nucl-th", "title": "" }, { "docid": "5", "text": "The categories of this paper are: gr-qc", "title": "" }, { "docid": "22", "text": "The categories of this paper are: chao-dyn", "title": "" }, { "docid": "29", "text": "The categories of this paper are: funct-an", "title": "" }, { "docid": "4", "text": "The categories of this paper are: cond-mat", "title": "" }, { "docid": "30", "text": "The categories of this paper are: q-alg", "title": "" }, { "docid": "28", "text": "The categories of this paper are: alg-geom", "title": "" }, { "docid": "17", "text": "The categories of this paper are: q-fin", "title": "" }, { "docid": "19", "text": "The categories of this paper are: eess", "title": "" }, { "docid": "35", "text": "The categories of this paper are: mtrl-th", "title": "" } ]
1511.08626
Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts Query: Existence and uniqueness of solutions for a model of non-sarcomeric actomyosin bundles The model for disordered actomyosin bundles recently derived by Oelz, in the work 'A viscous two-phase model for contractile actomyosin bundles' (Math. Biol., 68 (2013), 1653--1676) includes the effects of cross-linking of parallel and anti-parallel actin filaments, their polymerization and depolymerization, and, most importantly, the interaction with the motor protein myosin, which leads to sliding of anti-parallel filaments relative to each other. The model relies on the assumption that actin filaments are short compared to the length of the bundle. It is a two-phase model which treats actin filaments of both orientations separately. It consists of quasi-stationary force balances determining the local velocities of the filament families and of transport equations for the filaments. Two types of initial-boundary value problems are considered, where either the bundle length or the total force on the bundle are prescribed. In the latter case, the bundle length is determined as a free boundary. Local in time existence and uniqueness results are proven. For the problem with given bundle length, a global solution exists for short enough bundles. For small prescribed force, a formal approximation can be computed explicitly, and the bundle length tends to a limiting value.
[ { "docid": "2", "text": "The categories of this paper are: math", "title": "" } ]
[ { "docid": "22", "text": "The categories of this paper are: chao-dyn", "title": "" }, { "docid": "9", "text": "The categories of this paper are: nlin", "title": "" }, { "docid": "24", "text": "The categories of this paper are: dg-ga", "title": "" }, { "docid": "11", "text": "The categories of this paper are: hep-lat", "title": "" }, { "docid": "36", "text": "The categories of this paper are: cmp-lg", "title": "" }, { "docid": "0", "text": "The categories of this paper are: hep-ph", "title": "" }, { "docid": "19", "text": "The categories of this paper are: eess", "title": "" }, { "docid": "23", "text": "The categories of this paper are: solv-int", "title": "" }, { "docid": "10", "text": "The categories of this paper are: q-bio", "title": "" }, { "docid": "5", "text": "The categories of this paper are: gr-qc", "title": "" }, { "docid": "12", "text": "The categories of this paper are: nucl-th", "title": "" }, { "docid": "35", "text": "The categories of this paper are: mtrl-th", "title": "" }, { "docid": "37", "text": "The categories of this paper are: supr-con", "title": "" }, { "docid": "20", "text": "The categories of this paper are: acc-phys", "title": "" }, { "docid": "25", "text": "The categories of this paper are: patt-sol", "title": "" }, { "docid": "18", "text": "The categories of this paper are: econ", "title": "" } ]
1409.1341
Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts Query: $\bar{B}^0$ and $\bar{B}^0_s$ decays into $J/\psi$ and $f_0(1370),~f_0(1710),~f_2(1270),~f'_2(1525),~K^*_2(1430)$ We make predictions for the ratios of branching fractions of ${\bar B}^0$ and ${\bar B}^0_s$ decays into $J/\psi$ and the scalar mesons $f_0(1370),~f_0(1710)$ or tensor mesons $f_2(1270),~f'_2(1525),~K^*_2(1430)$. The theoretical approach is based on results of chiral unitary theory where these resonances are shown to be generated from the vector meson-vector meson interaction. Eight independent ratios can be predicted and comparison is made with the recent data on $\bar{B}^0_s$ decay into $J/\psi f'_2(1525)$ versus the $\bar{B}^0_s$ decay into $J/\psi f_2(1270)$.
[ { "docid": "8", "text": "The categories of this paper are: hep-ex", "title": "" }, { "docid": "0", "text": "The categories of this paper are: hep-ph", "title": "" }, { "docid": "12", "text": "The categories of this paper are: nucl-th", "title": "" } ]
[ { "docid": "31", "text": "The categories of this paper are: ao-sci", "title": "" }, { "docid": "25", "text": "The categories of this paper are: patt-sol", "title": "" }, { "docid": "4", "text": "The categories of this paper are: cond-mat", "title": "" }, { "docid": "36", "text": "The categories of this paper are: cmp-lg", "title": "" }, { "docid": "6", "text": "The categories of this paper are: astro-ph", "title": "" }, { "docid": "16", "text": "The categories of this paper are: stat", "title": "" }, { "docid": "15", "text": "The categories of this paper are: nucl-ex", "title": "" }, { "docid": "17", "text": "The categories of this paper are: q-fin", "title": "" }, { "docid": "10", "text": "The categories of this paper are: q-bio", "title": "" }, { "docid": "3", "text": "The categories of this paper are: physics", "title": "" }, { "docid": "5", "text": "The categories of this paper are: gr-qc", "title": "" }, { "docid": "7", "text": "The categories of this paper are: hep-th", "title": "" }, { "docid": "19", "text": "The categories of this paper are: eess", "title": "" }, { "docid": "11", "text": "The categories of this paper are: hep-lat", "title": "" }, { "docid": "14", "text": "The categories of this paper are: math-ph", "title": "" }, { "docid": "2", "text": "The categories of this paper are: math", "title": "" } ]
1603.08820
Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts Query: Asymptotic-Preserving methods and multiscale models for plasma physics The purpose of the present paper is to provide an overview of Asymptotic-Preserving methods for multiscale plasma simulations by addressing three singular perturbation problems. First, the quasi-neutral limit of fluid and kinetic models is investigated in the framework of non magnetized as well as magnetized plasmas. Second, the drift limit for fluid descriptions of thermal plasmas under large magnetic fields is addressed. Finally efficient numerical resolutions of anisotropic elliptic or diffusion equations arising in magnetized plasma simulation are reviewed.
[ { "docid": "14", "text": "The categories of this paper are: math-ph", "title": "" }, { "docid": "3", "text": "The categories of this paper are: physics", "title": "" }, { "docid": "2", "text": "The categories of this paper are: math", "title": "" } ]
[ { "docid": "32", "text": "The categories of this paper are: atom-ph", "title": "" }, { "docid": "9", "text": "The categories of this paper are: nlin", "title": "" }, { "docid": "30", "text": "The categories of this paper are: q-alg", "title": "" }, { "docid": "35", "text": "The categories of this paper are: mtrl-th", "title": "" }, { "docid": "13", "text": "The categories of this paper are: quant-ph", "title": "" }, { "docid": "15", "text": "The categories of this paper are: nucl-ex", "title": "" }, { "docid": "8", "text": "The categories of this paper are: hep-ex", "title": "" }, { "docid": "21", "text": "The categories of this paper are: adap-org", "title": "" }, { "docid": "16", "text": "The categories of this paper are: stat", "title": "" }, { "docid": "29", "text": "The categories of this paper are: funct-an", "title": "" }, { "docid": "1", "text": "The categories of this paper are: cs", "title": "" }, { "docid": "5", "text": "The categories of this paper are: gr-qc", "title": "" }, { "docid": "18", "text": "The categories of this paper are: econ", "title": "" }, { "docid": "34", "text": "The categories of this paper are: chem-ph", "title": "" }, { "docid": "11", "text": "The categories of this paper are: hep-lat", "title": "" }, { "docid": "28", "text": "The categories of this paper are: alg-geom", "title": "" } ]
2004.14538
Instruct: Identify the main and secondary category of Arxiv papers based on the titles Query: Singular points of polarizations in the momentum space of photonic crystal slabs
[ { "docid": "3", "text": "The categories of this paper are: physics", "title": "" } ]
[ { "docid": "5", "text": "The categories of this paper are: gr-qc", "title": "" }, { "docid": "15", "text": "The categories of this paper are: nucl-ex", "title": "" }, { "docid": "10", "text": "The categories of this paper are: q-bio", "title": "" }, { "docid": "18", "text": "The categories of this paper are: econ", "title": "" }, { "docid": "28", "text": "The categories of this paper are: alg-geom", "title": "" }, { "docid": "30", "text": "The categories of this paper are: q-alg", "title": "" }, { "docid": "31", "text": "The categories of this paper are: ao-sci", "title": "" }, { "docid": "11", "text": "The categories of this paper are: hep-lat", "title": "" }, { "docid": "37", "text": "The categories of this paper are: supr-con", "title": "" }, { "docid": "14", "text": "The categories of this paper are: math-ph", "title": "" }, { "docid": "35", "text": "The categories of this paper are: mtrl-th", "title": "" }, { "docid": "21", "text": "The categories of this paper are: adap-org", "title": "" }, { "docid": "1", "text": "The categories of this paper are: cs", "title": "" }, { "docid": "2", "text": "The categories of this paper are: math", "title": "" }, { "docid": "0", "text": "The categories of this paper are: hep-ph", "title": "" }, { "docid": "7", "text": "The categories of this paper are: hep-th", "title": "" } ]
1203.6666
Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts Query: Crystal growth of LiGd1-xLuxF4 solid solutions by zone melting technique Mixtures (1 - x) LiGdF4 + x LiLuF4 (0.50? \leq x \leq 0.75) were melted and submitted to one zone melting cycle under a reactive HF atmosphere, aiming the study of the crystal growth of LiGd1-xLuxF4 solid solutions. Phase identification and compositional studies of the ingots were performed by scanning electron microscopy, energy dispersive X-ray spectrometry, and X-ray powder diffraction. Transparent regions of the bar related with the formation of LiGd1-xLuxF4 solid solutions were found to be enlarged proportionally to the initial amount of Lu in the mixtures. Gd segregates to the end of the ingot.
[ { "docid": "4", "text": "The categories of this paper are: cond-mat", "title": "" } ]
[ { "docid": "15", "text": "The categories of this paper are: nucl-ex", "title": "" }, { "docid": "37", "text": "The categories of this paper are: supr-con", "title": "" }, { "docid": "17", "text": "The categories of this paper are: q-fin", "title": "" }, { "docid": "31", "text": "The categories of this paper are: ao-sci", "title": "" }, { "docid": "29", "text": "The categories of this paper are: funct-an", "title": "" }, { "docid": "18", "text": "The categories of this paper are: econ", "title": "" }, { "docid": "28", "text": "The categories of this paper are: alg-geom", "title": "" }, { "docid": "34", "text": "The categories of this paper are: chem-ph", "title": "" }, { "docid": "3", "text": "The categories of this paper are: physics", "title": "" }, { "docid": "7", "text": "The categories of this paper are: hep-th", "title": "" }, { "docid": "30", "text": "The categories of this paper are: q-alg", "title": "" }, { "docid": "23", "text": "The categories of this paper are: solv-int", "title": "" }, { "docid": "21", "text": "The categories of this paper are: adap-org", "title": "" }, { "docid": "2", "text": "The categories of this paper are: math", "title": "" }, { "docid": "0", "text": "The categories of this paper are: hep-ph", "title": "" }, { "docid": "25", "text": "The categories of this paper are: patt-sol", "title": "" } ]
0802.1649
Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts Query: Multiple Component Analysis of Time Resolved Spectra of GRB041006: A Clue to the Nature of Underlying Soft Component of GRBs GRB 041006 was detected by HETE-2 at 12:18:08 UT on 06 October 2004. This GRB displays a soft X-ray emission, a precursor before the onset of the main event, and also a soft X-ray tail after the end of the main peak. The light curves in four different energy bands display different features; At higher energy bands several peaks are seen in the light curve, while at lower energy bands a single broader bump dominates. It is expected that these different features are the result of a mixture of several components each of which has different energetics and variability. To reveal the nature of each component, we analysed the time resolved spectra and they are successfully resolved into several components. We also found that these components can be classified into two distinct classes; One is a component which has an exponential decay of $E_{p}$ with a characteristic timescale shorter than $\sim$ 30 sec, and its spectrum is well represented by a broken power law function, which is frequently observed in many prompt GRB emissions, so it should have an internal-shock origin. Another is a component whose $E_{p}$ is almost unchanged with characteristic timescale longer than $\sim$ 60 sec, and shows a very soft emission and slower variability. The spectrum of the soft component is characterized by either a broken power law or a black body spectrum. This component might originate from a relatively wider and lower velocity jet or a photosphere of the fireball. By assuming that the soft component is a thermal emission, the radiation radius is initially $4.4 \times 10^{6}$ km, which is a typical radius of a blue supergiant, and its expansion velocity is $2.4 \times 10^{5}$ km/s in the source frame.
[ { "docid": "6", "text": "The categories of this paper are: astro-ph", "title": "" } ]
[ { "docid": "10", "text": "The categories of this paper are: q-bio", "title": "" }, { "docid": "25", "text": "The categories of this paper are: patt-sol", "title": "" }, { "docid": "29", "text": "The categories of this paper are: funct-an", "title": "" }, { "docid": "18", "text": "The categories of this paper are: econ", "title": "" }, { "docid": "31", "text": "The categories of this paper are: ao-sci", "title": "" }, { "docid": "3", "text": "The categories of this paper are: physics", "title": "" }, { "docid": "22", "text": "The categories of this paper are: chao-dyn", "title": "" }, { "docid": "36", "text": "The categories of this paper are: cmp-lg", "title": "" }, { "docid": "19", "text": "The categories of this paper are: eess", "title": "" }, { "docid": "26", "text": "The categories of this paper are: bayes-an", "title": "" }, { "docid": "17", "text": "The categories of this paper are: q-fin", "title": "" }, { "docid": "9", "text": "The categories of this paper are: nlin", "title": "" }, { "docid": "7", "text": "The categories of this paper are: hep-th", "title": "" }, { "docid": "32", "text": "The categories of this paper are: atom-ph", "title": "" }, { "docid": "21", "text": "The categories of this paper are: adap-org", "title": "" }, { "docid": "11", "text": "The categories of this paper are: hep-lat", "title": "" } ]
1305.6902
Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts Query: Fermionic current induced by magnetic flux in compactified cosmic string spacetime In this paper, we investigate the fermionic current densities induced by a magnetic flux running along the idealized cosmic string in a four-dimensional spacetime, admitting that the coordinate along the string's axis is compactified. In order to develop this investigation we construct the complete set of fermionic mode functions obeying a general quasiperiodicity condition along the compactified dimension. The vacuum expectation value of the azimuthal current density is decomposed into two parts. The first one corresponds to the uncompactified cosmic string geometry and the second one is the correction induced by the compactification. For the first part we provide a closed expression which includes various special cases previously discussed in the literature. The second part is an odd periodic function of the magnetic flux along the string axis with the period equal to the flux quantum and it is an even function of the magnetic flux enclosed by the string axis. The compactification of the cosmic string axis in combination with the quasiperiodicity condition leads to the nonzero axial current density. The latter is an even periodic function of the magnetic flux along the string axis and an odd periodic function of the magnetic flux enclosed by the string axis. The axial current density vanishes for untwisted and twisted fields in the absence of the magnetic flux enclosed by the string axis. The asymptotic behavior of the vacuum fermionic current is investigated near the string and at large distances from it. In particular, the topological part of the azimuthal current and the axial current are finite on the string's axis.
[ { "docid": "5", "text": "The categories of this paper are: gr-qc", "title": "" }, { "docid": "7", "text": "The categories of this paper are: hep-th", "title": "" } ]
[ { "docid": "10", "text": "The categories of this paper are: q-bio", "title": "" }, { "docid": "36", "text": "The categories of this paper are: cmp-lg", "title": "" }, { "docid": "6", "text": "The categories of this paper are: astro-ph", "title": "" }, { "docid": "32", "text": "The categories of this paper are: atom-ph", "title": "" }, { "docid": "34", "text": "The categories of this paper are: chem-ph", "title": "" }, { "docid": "16", "text": "The categories of this paper are: stat", "title": "" }, { "docid": "31", "text": "The categories of this paper are: ao-sci", "title": "" }, { "docid": "28", "text": "The categories of this paper are: alg-geom", "title": "" }, { "docid": "22", "text": "The categories of this paper are: chao-dyn", "title": "" }, { "docid": "20", "text": "The categories of this paper are: acc-phys", "title": "" }, { "docid": "37", "text": "The categories of this paper are: supr-con", "title": "" }, { "docid": "12", "text": "The categories of this paper are: nucl-th", "title": "" }, { "docid": "33", "text": "The categories of this paper are: plasm-ph", "title": "" }, { "docid": "0", "text": "The categories of this paper are: hep-ph", "title": "" }, { "docid": "13", "text": "The categories of this paper are: quant-ph", "title": "" }, { "docid": "8", "text": "The categories of this paper are: hep-ex", "title": "" } ]
1103.2674
Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts Query: A multi-dimensional-time dynamical system In this paper we give a concept of multi-dimensional-time dynamical system (MDTDS). Such dynamical system is generated by a finite family of functions $\{f_i\}$. The multi-dimensional-time space is taken as a free group. Using the subgroups of the free group we define periodic orbits of MDTDS and construct such orbits. We study fixed points of MDTDS and show that the set of the fixed points is the intersection of the set of fixed points of each $f_i$. The $\omega$-limit set of the MDTDS is defined and some properties of the set is studied. Moreover we construct a MDTDS for income of a deposit from several banks and construct a MDTDS on circle. For these MDTDSs we describe the set of fixed and periodic points. We discuss several open problems.
[ { "docid": "2", "text": "The categories of this paper are: math", "title": "" } ]
[ { "docid": "1", "text": "The categories of this paper are: cs", "title": "" }, { "docid": "30", "text": "The categories of this paper are: q-alg", "title": "" }, { "docid": "14", "text": "The categories of this paper are: math-ph", "title": "" }, { "docid": "4", "text": "The categories of this paper are: cond-mat", "title": "" }, { "docid": "11", "text": "The categories of this paper are: hep-lat", "title": "" }, { "docid": "36", "text": "The categories of this paper are: cmp-lg", "title": "" }, { "docid": "20", "text": "The categories of this paper are: acc-phys", "title": "" }, { "docid": "25", "text": "The categories of this paper are: patt-sol", "title": "" }, { "docid": "24", "text": "The categories of this paper are: dg-ga", "title": "" }, { "docid": "22", "text": "The categories of this paper are: chao-dyn", "title": "" }, { "docid": "8", "text": "The categories of this paper are: hep-ex", "title": "" }, { "docid": "33", "text": "The categories of this paper are: plasm-ph", "title": "" }, { "docid": "9", "text": "The categories of this paper are: nlin", "title": "" }, { "docid": "21", "text": "The categories of this paper are: adap-org", "title": "" }, { "docid": "12", "text": "The categories of this paper are: nucl-th", "title": "" }, { "docid": "5", "text": "The categories of this paper are: gr-qc", "title": "" } ]
2010.06320
Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts Query: General analytic theory of classical collinear three wave mixing in a monolithic cavity Integrated, monolithic nonlinear cavities are of high interest in both classical and quantum optics experiments for their high efficiency and stability. However, a general, analytic theory of classical three wave mixing in such systems that encompasses multiple monolithic designs, including both linear and nonlinear regions, as well as any three-wave mixing process has not yet been fully developed. In this paper, we present the analytic theory for a general, classical three wave mixing process in a cavity with arbitrary finesse and non-zero propagation losses, encompassing second harmonic, sum frequency and difference frequency generation - SHG, SFG and DFG respectively. The analytic expression is derived under the sole assumption of low single-pass conversion efficiency (or equivalently operating in the non-depleted pump regime). We demonstrate remarkable agreement between the presented model and the experimentally obtained highly complex second-harmonic spectrum of a titanium-diffused lithium niobate waveguide cavity that includes both a linear and nonlinear section. We then show the effect that reversing the linear and nonlinear regions has on the output spectrum, highlighting the importance of system design. Finally, we demonstrate that the model can be extended to include the effect of phase modulation applied to the cavity.
[ { "docid": "13", "text": "The categories of this paper are: quant-ph", "title": "" }, { "docid": "3", "text": "The categories of this paper are: physics", "title": "" } ]
[ { "docid": "12", "text": "The categories of this paper are: nucl-th", "title": "" }, { "docid": "15", "text": "The categories of this paper are: nucl-ex", "title": "" }, { "docid": "11", "text": "The categories of this paper are: hep-lat", "title": "" }, { "docid": "30", "text": "The categories of this paper are: q-alg", "title": "" }, { "docid": "7", "text": "The categories of this paper are: hep-th", "title": "" }, { "docid": "37", "text": "The categories of this paper are: supr-con", "title": "" }, { "docid": "6", "text": "The categories of this paper are: astro-ph", "title": "" }, { "docid": "35", "text": "The categories of this paper are: mtrl-th", "title": "" }, { "docid": "33", "text": "The categories of this paper are: plasm-ph", "title": "" }, { "docid": "22", "text": "The categories of this paper are: chao-dyn", "title": "" }, { "docid": "8", "text": "The categories of this paper are: hep-ex", "title": "" }, { "docid": "32", "text": "The categories of this paper are: atom-ph", "title": "" }, { "docid": "20", "text": "The categories of this paper are: acc-phys", "title": "" }, { "docid": "16", "text": "The categories of this paper are: stat", "title": "" }, { "docid": "27", "text": "The categories of this paper are: comp-gas", "title": "" }, { "docid": "23", "text": "The categories of this paper are: solv-int", "title": "" } ]
2008.00398
Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts Query: Design and analysis of guided modes in photonic waveguides using optical neural network We present a deep learning approach using an optical neural network to predict the fundamental modal indices $n_{\rm{eff}}$ in a silicon (Si) channel waveguide. We use three inputs, e.g., two geometric parameters and one material property, and predict the $n_{\rm{eff}}$ for the transverse electric and transverse magnetic polarizations. With the least number (i.e., $3^3$ or $4^3$) of exact mode solutions from Maxwell's equations, we can uncover the solutions which correspond to $10^3$ numerical simulations. Note that this consumes the lowest amount of computational resources. The mean squared errors of the exact and the predicted results are $<10^{-5}$. Moreover, our parameters' ranges are compatible with current photolithography and complementary metal-oxide-semiconductor (CMOS) fabrication technology. We also show the impacts of different transfer functions and neural network layouts on the model's performance. Our approach presents a unique advantage to uncover the guided modes in any photonic waveguides within the least possible numerical simulations.
[ { "docid": "3", "text": "The categories of this paper are: physics", "title": "" } ]
[ { "docid": "21", "text": "The categories of this paper are: adap-org", "title": "" }, { "docid": "36", "text": "The categories of this paper are: cmp-lg", "title": "" }, { "docid": "18", "text": "The categories of this paper are: econ", "title": "" }, { "docid": "32", "text": "The categories of this paper are: atom-ph", "title": "" }, { "docid": "1", "text": "The categories of this paper are: cs", "title": "" }, { "docid": "30", "text": "The categories of this paper are: q-alg", "title": "" }, { "docid": "10", "text": "The categories of this paper are: q-bio", "title": "" }, { "docid": "16", "text": "The categories of this paper are: stat", "title": "" }, { "docid": "35", "text": "The categories of this paper are: mtrl-th", "title": "" }, { "docid": "24", "text": "The categories of this paper are: dg-ga", "title": "" }, { "docid": "2", "text": "The categories of this paper are: math", "title": "" }, { "docid": "12", "text": "The categories of this paper are: nucl-th", "title": "" }, { "docid": "5", "text": "The categories of this paper are: gr-qc", "title": "" }, { "docid": "31", "text": "The categories of this paper are: ao-sci", "title": "" }, { "docid": "11", "text": "The categories of this paper are: hep-lat", "title": "" }, { "docid": "14", "text": "The categories of this paper are: math-ph", "title": "" } ]
1808.09853
Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts Query: Counting Independent Sets in Cocomparability Graphs We show that the number of independent sets in cocomparability graphs can be counted in linear time, as can counting cliques in comparability graphs. By contrast, counting cliques in cocomparabilty graphs and counting independent sets in comparability graphs are #P-complete. We extend these results to counting maximal cliques and independent sets. We also consider the fixed-parameter versions of counting cliques and independent sets of given size $k$. Finally, we combine the results to show that both counting cliques and independent sets in permutation graphs are in linear time.
[ { "docid": "1", "text": "The categories of this paper are: cs", "title": "" } ]
[ { "docid": "31", "text": "The categories of this paper are: ao-sci", "title": "" }, { "docid": "22", "text": "The categories of this paper are: chao-dyn", "title": "" }, { "docid": "34", "text": "The categories of this paper are: chem-ph", "title": "" }, { "docid": "5", "text": "The categories of this paper are: gr-qc", "title": "" }, { "docid": "23", "text": "The categories of this paper are: solv-int", "title": "" }, { "docid": "16", "text": "The categories of this paper are: stat", "title": "" }, { "docid": "13", "text": "The categories of this paper are: quant-ph", "title": "" }, { "docid": "32", "text": "The categories of this paper are: atom-ph", "title": "" }, { "docid": "10", "text": "The categories of this paper are: q-bio", "title": "" }, { "docid": "11", "text": "The categories of this paper are: hep-lat", "title": "" }, { "docid": "4", "text": "The categories of this paper are: cond-mat", "title": "" }, { "docid": "18", "text": "The categories of this paper are: econ", "title": "" }, { "docid": "26", "text": "The categories of this paper are: bayes-an", "title": "" }, { "docid": "36", "text": "The categories of this paper are: cmp-lg", "title": "" }, { "docid": "6", "text": "The categories of this paper are: astro-ph", "title": "" }, { "docid": "27", "text": "The categories of this paper are: comp-gas", "title": "" } ]
0804.0955
Instruct: Identify the main and secondary category of Arxiv papers based on the titles Query: A laser frequency comb that enables radial velocity measurements with a precision of 1 cm s$^{-1}$
[ { "docid": "6", "text": "The categories of this paper are: astro-ph", "title": "" } ]
[ { "docid": "8", "text": "The categories of this paper are: hep-ex", "title": "" }, { "docid": "30", "text": "The categories of this paper are: q-alg", "title": "" }, { "docid": "9", "text": "The categories of this paper are: nlin", "title": "" }, { "docid": "3", "text": "The categories of this paper are: physics", "title": "" }, { "docid": "0", "text": "The categories of this paper are: hep-ph", "title": "" }, { "docid": "34", "text": "The categories of this paper are: chem-ph", "title": "" }, { "docid": "12", "text": "The categories of this paper are: nucl-th", "title": "" }, { "docid": "28", "text": "The categories of this paper are: alg-geom", "title": "" }, { "docid": "37", "text": "The categories of this paper are: supr-con", "title": "" }, { "docid": "24", "text": "The categories of this paper are: dg-ga", "title": "" }, { "docid": "10", "text": "The categories of this paper are: q-bio", "title": "" }, { "docid": "29", "text": "The categories of this paper are: funct-an", "title": "" }, { "docid": "11", "text": "The categories of this paper are: hep-lat", "title": "" }, { "docid": "16", "text": "The categories of this paper are: stat", "title": "" }, { "docid": "36", "text": "The categories of this paper are: cmp-lg", "title": "" }, { "docid": "22", "text": "The categories of this paper are: chao-dyn", "title": "" } ]
0805.1094
Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts Query: The Rapidly Flaring Afterglow of the Very Bright and Energetic GRB 070125 We report on multi-wavelength observations, ranging from the X-ray to radio wave bands, of the IPN-localized gamma-ray burst GRB 070125. Spectroscopic observations reveal the presence of absorption lines due to O I, Si II, and C IV, implying a likely redshift of z = 1.547. The well-sampled light curves, in particular from 0.5 to 4 days after the burst, suggest a jet break at 3.7 days, corresponding to a jet opening angle of ~7.0 degrees, and implying an intrinsic GRB energy in the 1 - 10,000 keV band of around E = (6.3 - 6.9)x 10^(51) erg (based on the fluences measured by the gamma-ray detectors of the IPN network). GRB 070125 is among the brightest afterglows observed to date. The spectral energy distribution implies a host extinction of Av < 0.9 mag. Two rebrightening episodes are observed, one with excellent time coverage, showing an increase in flux of 56% in ~8000 seconds. The evolution of the afterglow light curve is achromatic at all times. Late-time observations of the afterglow do not show evidence for emission from an underlying host galaxy or supernova. Any host galaxy would be subluminous, consistent with current GRB host-galaxy samples. Evidence for strong Mg II absorption features is not found, which is perhaps surprising in view of the relatively high redshift of this burst and the high likelihood for such features along GRB-selected lines of sight.
[ { "docid": "6", "text": "The categories of this paper are: astro-ph", "title": "" } ]
[ { "docid": "18", "text": "The categories of this paper are: econ", "title": "" }, { "docid": "8", "text": "The categories of this paper are: hep-ex", "title": "" }, { "docid": "33", "text": "The categories of this paper are: plasm-ph", "title": "" }, { "docid": "9", "text": "The categories of this paper are: nlin", "title": "" }, { "docid": "36", "text": "The categories of this paper are: cmp-lg", "title": "" }, { "docid": "34", "text": "The categories of this paper are: chem-ph", "title": "" }, { "docid": "21", "text": "The categories of this paper are: adap-org", "title": "" }, { "docid": "10", "text": "The categories of this paper are: q-bio", "title": "" }, { "docid": "29", "text": "The categories of this paper are: funct-an", "title": "" }, { "docid": "17", "text": "The categories of this paper are: q-fin", "title": "" }, { "docid": "30", "text": "The categories of this paper are: q-alg", "title": "" }, { "docid": "5", "text": "The categories of this paper are: gr-qc", "title": "" }, { "docid": "7", "text": "The categories of this paper are: hep-th", "title": "" }, { "docid": "22", "text": "The categories of this paper are: chao-dyn", "title": "" }, { "docid": "35", "text": "The categories of this paper are: mtrl-th", "title": "" }, { "docid": "32", "text": "The categories of this paper are: atom-ph", "title": "" } ]
hep-ex/0001049
Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts Query: Status of Experiments and Recent Results from CMD-2 Detector at Vepp-2M The Cryogenic Magnetic Detector (CMD-2) is shortly described. Preliminary results for the cross sections of $e^+$ $e^-$ annihilation into hadrons and leptons are presented in the c.m. energy range from 0.37 to 1.39 GeV. The total integrated luminosity of about 26 ${pb}^{-1}$ has been collected. The new results for the $\rho$ and $\omega$ meson parameters are reported. The major decay modes of the $\phi$ meson as well as its rare decays have been observed.
[ { "docid": "8", "text": "The categories of this paper are: hep-ex", "title": "" } ]
[ { "docid": "15", "text": "The categories of this paper are: nucl-ex", "title": "" }, { "docid": "11", "text": "The categories of this paper are: hep-lat", "title": "" }, { "docid": "4", "text": "The categories of this paper are: cond-mat", "title": "" }, { "docid": "21", "text": "The categories of this paper are: adap-org", "title": "" }, { "docid": "24", "text": "The categories of this paper are: dg-ga", "title": "" }, { "docid": "12", "text": "The categories of this paper are: nucl-th", "title": "" }, { "docid": "33", "text": "The categories of this paper are: plasm-ph", "title": "" }, { "docid": "30", "text": "The categories of this paper are: q-alg", "title": "" }, { "docid": "34", "text": "The categories of this paper are: chem-ph", "title": "" }, { "docid": "10", "text": "The categories of this paper are: q-bio", "title": "" }, { "docid": "37", "text": "The categories of this paper are: supr-con", "title": "" }, { "docid": "2", "text": "The categories of this paper are: math", "title": "" }, { "docid": "25", "text": "The categories of this paper are: patt-sol", "title": "" }, { "docid": "32", "text": "The categories of this paper are: atom-ph", "title": "" }, { "docid": "27", "text": "The categories of this paper are: comp-gas", "title": "" }, { "docid": "31", "text": "The categories of this paper are: ao-sci", "title": "" } ]
1302.0949
Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts Query: Singular measure as principal eigenfunction of some nonlocal operators In this paper, we are interested in the spectral properties of the generalised principal eigenvalue of some nonlocal operator. That is, we look for the existence of some particular solution $(\lambda,\phi)$ of a nonlocal operator. $$\int_{\O}K(x,y)\phi(y)\, dy +a(x)\phi(x) =-\lambda \phi(x),$$ where $\O\subset\R^n$ is an open bounded connected set, $K$ a nonnegative kernel and $a$ is continuous. We prove that for the generalised principal eigenvalue $\lambda_p:=\sup \{\lambda \in \R \, |\, \exists \, \phi \in C(\O), \phi > 0 \;\text{so that}\; \oplb{\phi}{\O}+ a(x)\phi + \lambda\phi\le 0\}$ there exists always a solution $(\mu, \lambda_p)$ of the problem in the space of signed measure. Moreover $\mu$ a positive measure. When $\mu$ is absolutely continuous with respect to the Lebesgue measure, $\mu =\phi_p(x)$ is called the principal eigenfunction associated to $\lambda_p$. In some simple cases, we exhibit some explicit singular measures that are solutions of the spectral problem.
[ { "docid": "2", "text": "The categories of this paper are: math", "title": "" } ]
[ { "docid": "31", "text": "The categories of this paper are: ao-sci", "title": "" }, { "docid": "6", "text": "The categories of this paper are: astro-ph", "title": "" }, { "docid": "23", "text": "The categories of this paper are: solv-int", "title": "" }, { "docid": "17", "text": "The categories of this paper are: q-fin", "title": "" }, { "docid": "12", "text": "The categories of this paper are: nucl-th", "title": "" }, { "docid": "27", "text": "The categories of this paper are: comp-gas", "title": "" }, { "docid": "7", "text": "The categories of this paper are: hep-th", "title": "" }, { "docid": "24", "text": "The categories of this paper are: dg-ga", "title": "" }, { "docid": "22", "text": "The categories of this paper are: chao-dyn", "title": "" }, { "docid": "18", "text": "The categories of this paper are: econ", "title": "" }, { "docid": "34", "text": "The categories of this paper are: chem-ph", "title": "" }, { "docid": "19", "text": "The categories of this paper are: eess", "title": "" }, { "docid": "13", "text": "The categories of this paper are: quant-ph", "title": "" }, { "docid": "14", "text": "The categories of this paper are: math-ph", "title": "" }, { "docid": "10", "text": "The categories of this paper are: q-bio", "title": "" }, { "docid": "15", "text": "The categories of this paper are: nucl-ex", "title": "" } ]
1807.05085
Instruct: Identify the main and secondary category of Arxiv papers based on the titles Query: Dynamic Gradients, Mobile Layers, Tg Shifts, Role of Vitrification Criterion and Inhomogeneous Decoupling in Free-Standing Polymer Films
[ { "docid": "4", "text": "The categories of this paper are: cond-mat", "title": "" } ]
[ { "docid": "23", "text": "The categories of this paper are: solv-int", "title": "" }, { "docid": "32", "text": "The categories of this paper are: atom-ph", "title": "" }, { "docid": "34", "text": "The categories of this paper are: chem-ph", "title": "" }, { "docid": "36", "text": "The categories of this paper are: cmp-lg", "title": "" }, { "docid": "25", "text": "The categories of this paper are: patt-sol", "title": "" }, { "docid": "24", "text": "The categories of this paper are: dg-ga", "title": "" }, { "docid": "28", "text": "The categories of this paper are: alg-geom", "title": "" }, { "docid": "11", "text": "The categories of this paper are: hep-lat", "title": "" }, { "docid": "3", "text": "The categories of this paper are: physics", "title": "" }, { "docid": "22", "text": "The categories of this paper are: chao-dyn", "title": "" }, { "docid": "17", "text": "The categories of this paper are: q-fin", "title": "" }, { "docid": "10", "text": "The categories of this paper are: q-bio", "title": "" }, { "docid": "9", "text": "The categories of this paper are: nlin", "title": "" }, { "docid": "37", "text": "The categories of this paper are: supr-con", "title": "" }, { "docid": "35", "text": "The categories of this paper are: mtrl-th", "title": "" }, { "docid": "8", "text": "The categories of this paper are: hep-ex", "title": "" } ]
quant-ph/0510039
Instruct: Identify the main and secondary category of Arxiv papers based on the titles Query: Can a "Hidden Variable'' Quantum Theory Evade the "No-Cloning" Theorem?
[ { "docid": "13", "text": "The categories of this paper are: quant-ph", "title": "" } ]
[ { "docid": "22", "text": "The categories of this paper are: chao-dyn", "title": "" }, { "docid": "18", "text": "The categories of this paper are: econ", "title": "" }, { "docid": "25", "text": "The categories of this paper are: patt-sol", "title": "" }, { "docid": "35", "text": "The categories of this paper are: mtrl-th", "title": "" }, { "docid": "32", "text": "The categories of this paper are: atom-ph", "title": "" }, { "docid": "21", "text": "The categories of this paper are: adap-org", "title": "" }, { "docid": "2", "text": "The categories of this paper are: math", "title": "" }, { "docid": "12", "text": "The categories of this paper are: nucl-th", "title": "" }, { "docid": "29", "text": "The categories of this paper are: funct-an", "title": "" }, { "docid": "8", "text": "The categories of this paper are: hep-ex", "title": "" }, { "docid": "16", "text": "The categories of this paper are: stat", "title": "" }, { "docid": "4", "text": "The categories of this paper are: cond-mat", "title": "" }, { "docid": "15", "text": "The categories of this paper are: nucl-ex", "title": "" }, { "docid": "1", "text": "The categories of this paper are: cs", "title": "" }, { "docid": "30", "text": "The categories of this paper are: q-alg", "title": "" }, { "docid": "20", "text": "The categories of this paper are: acc-phys", "title": "" } ]
1610.04041
Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts Query: A resource dependent protein synthesis model for evaluating synthetic circuits Reliable in-silico design of synthetic gene networks necessitates novel approaches to model the process of protein synthesis under the influence of limited resources. We present such a novel protein synthesis model which originates from the Ribosome Flow Model and among other things describes the movement of RNA-polymerase and Ribosomes on mRNA and DNA templates respectively. By analyzing the convergence properties of this model based upon geometric considerations we present additional insights into the dynamic mechanisms of the process of protein synthesis. Further, we exemplarily show how this model can be used to evaluate the performance of synthetic gene circuits under different loading scenarios.
[ { "docid": "10", "text": "The categories of this paper are: q-bio", "title": "" } ]
[ { "docid": "26", "text": "The categories of this paper are: bayes-an", "title": "" }, { "docid": "8", "text": "The categories of this paper are: hep-ex", "title": "" }, { "docid": "0", "text": "The categories of this paper are: hep-ph", "title": "" }, { "docid": "14", "text": "The categories of this paper are: math-ph", "title": "" }, { "docid": "18", "text": "The categories of this paper are: econ", "title": "" }, { "docid": "37", "text": "The categories of this paper are: supr-con", "title": "" }, { "docid": "3", "text": "The categories of this paper are: physics", "title": "" }, { "docid": "17", "text": "The categories of this paper are: q-fin", "title": "" }, { "docid": "11", "text": "The categories of this paper are: hep-lat", "title": "" }, { "docid": "19", "text": "The categories of this paper are: eess", "title": "" }, { "docid": "32", "text": "The categories of this paper are: atom-ph", "title": "" }, { "docid": "25", "text": "The categories of this paper are: patt-sol", "title": "" }, { "docid": "12", "text": "The categories of this paper are: nucl-th", "title": "" }, { "docid": "22", "text": "The categories of this paper are: chao-dyn", "title": "" }, { "docid": "15", "text": "The categories of this paper are: nucl-ex", "title": "" }, { "docid": "34", "text": "The categories of this paper are: chem-ph", "title": "" } ]
1505.00331
Instruct: Identify the main and secondary category of Arxiv papers based on the titles Query: Evolution of structural ({\alpha}) relaxation-time anomalies in GexSe1-x Chalcogenide glasses
[ { "docid": "4", "text": "The categories of this paper are: cond-mat", "title": "" } ]
[ { "docid": "9", "text": "The categories of this paper are: nlin", "title": "" }, { "docid": "10", "text": "The categories of this paper are: q-bio", "title": "" }, { "docid": "36", "text": "The categories of this paper are: cmp-lg", "title": "" }, { "docid": "6", "text": "The categories of this paper are: astro-ph", "title": "" }, { "docid": "21", "text": "The categories of this paper are: adap-org", "title": "" }, { "docid": "22", "text": "The categories of this paper are: chao-dyn", "title": "" }, { "docid": "11", "text": "The categories of this paper are: hep-lat", "title": "" }, { "docid": "14", "text": "The categories of this paper are: math-ph", "title": "" }, { "docid": "29", "text": "The categories of this paper are: funct-an", "title": "" }, { "docid": "8", "text": "The categories of this paper are: hep-ex", "title": "" }, { "docid": "33", "text": "The categories of this paper are: plasm-ph", "title": "" }, { "docid": "5", "text": "The categories of this paper are: gr-qc", "title": "" }, { "docid": "19", "text": "The categories of this paper are: eess", "title": "" }, { "docid": "7", "text": "The categories of this paper are: hep-th", "title": "" }, { "docid": "16", "text": "The categories of this paper are: stat", "title": "" }, { "docid": "37", "text": "The categories of this paper are: supr-con", "title": "" } ]
1810.09625
Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts Query: New hot subdwarf stars identified in Gaia DR2 with LAMOST DR5 spectra We selected 4593 hot subdwarf candidates from the Gaia DR2 Hertzsprung-Russell (HR) diagram. By combining the sample with LAMOST DR5, we identified 294 hot subdwarf stars, including 169 sdB, 63 sdOB, 31 He-sdOB, 22 sdO, 7 He-sdO and 2 He-sdB stars. The atmospheric parameters (e.g., T_{eff} , log g, log(nHe/nH)) are obtained by fitting the hydrogen (H) and helium (He) line profiles with synthetic spectra. Two distinct He sequences of hot subdwarf stars are clearly presented in the T_{eff} - log g diagram. We found that the He-rich sequence consists of the bulk of sdB and sdOB stars as well as all of the He-sdB, He-sdO and He-sdOB stars in our samples, while all the stars in the He-weak sequence belong to the sdO spectral type, combined with a few sdB and sdOB stars. We demonstrated that the combination of Gaia DR2 and LAMOST DR5 allows one to uncover a huge number of new hot subdwarf stars in our Galaxy.
[ { "docid": "6", "text": "The categories of this paper are: astro-ph", "title": "" } ]
[ { "docid": "22", "text": "The categories of this paper are: chao-dyn", "title": "" }, { "docid": "13", "text": "The categories of this paper are: quant-ph", "title": "" }, { "docid": "30", "text": "The categories of this paper are: q-alg", "title": "" }, { "docid": "19", "text": "The categories of this paper are: eess", "title": "" }, { "docid": "29", "text": "The categories of this paper are: funct-an", "title": "" }, { "docid": "4", "text": "The categories of this paper are: cond-mat", "title": "" }, { "docid": "15", "text": "The categories of this paper are: nucl-ex", "title": "" }, { "docid": "32", "text": "The categories of this paper are: atom-ph", "title": "" }, { "docid": "36", "text": "The categories of this paper are: cmp-lg", "title": "" }, { "docid": "28", "text": "The categories of this paper are: alg-geom", "title": "" }, { "docid": "14", "text": "The categories of this paper are: math-ph", "title": "" }, { "docid": "33", "text": "The categories of this paper are: plasm-ph", "title": "" }, { "docid": "25", "text": "The categories of this paper are: patt-sol", "title": "" }, { "docid": "37", "text": "The categories of this paper are: supr-con", "title": "" }, { "docid": "27", "text": "The categories of this paper are: comp-gas", "title": "" }, { "docid": "7", "text": "The categories of this paper are: hep-th", "title": "" } ]
1609.03523
Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts Query: Is the spin connection confined or condensed? The spin connection enters the theory of gravity as a nonabelian gauge field associated with local Lorentz transformations. Normally it is eliminated from making an extra assumption - that of the metricity of the vierbein field. However, treated by itself with the usual gauge action, it has a negative beta function, implying that it is asymptotically free. I suggest that the spin connection could be confined (or perhaps partially confined) in the same way as other nonabelian gauge fields. This would remove the need to make the extra assumption of metricity, as the spin connection would not be present in the low energy theory, leaving the symmetry to be realized only using metric variables.
[ { "docid": "0", "text": "The categories of this paper are: hep-ph", "title": "" }, { "docid": "11", "text": "The categories of this paper are: hep-lat", "title": "" }, { "docid": "5", "text": "The categories of this paper are: gr-qc", "title": "" }, { "docid": "7", "text": "The categories of this paper are: hep-th", "title": "" } ]
[ { "docid": "15", "text": "The categories of this paper are: nucl-ex", "title": "" }, { "docid": "18", "text": "The categories of this paper are: econ", "title": "" }, { "docid": "33", "text": "The categories of this paper are: plasm-ph", "title": "" }, { "docid": "23", "text": "The categories of this paper are: solv-int", "title": "" }, { "docid": "14", "text": "The categories of this paper are: math-ph", "title": "" }, { "docid": "4", "text": "The categories of this paper are: cond-mat", "title": "" }, { "docid": "10", "text": "The categories of this paper are: q-bio", "title": "" }, { "docid": "24", "text": "The categories of this paper are: dg-ga", "title": "" }, { "docid": "37", "text": "The categories of this paper are: supr-con", "title": "" }, { "docid": "9", "text": "The categories of this paper are: nlin", "title": "" }, { "docid": "13", "text": "The categories of this paper are: quant-ph", "title": "" }, { "docid": "30", "text": "The categories of this paper are: q-alg", "title": "" }, { "docid": "29", "text": "The categories of this paper are: funct-an", "title": "" }, { "docid": "34", "text": "The categories of this paper are: chem-ph", "title": "" }, { "docid": "35", "text": "The categories of this paper are: mtrl-th", "title": "" }, { "docid": "21", "text": "The categories of this paper are: adap-org", "title": "" } ]
1906.00314
Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts Query: A hybrid particle volume-of-fluid method for curvature estimation in multiphase flows We present a particle method for estimating the curvature of interfaces in volume-of-fluid simulations of multiphase flows. The method is well suited for under-resolved interfaces, and it is shown to be more accurate than the parabolic fitting that is employed in such cases. The curvature is computed from the equilibrium positions of particles constrained to circular arcs and attracted to the interface. The proposed particle method is combined with the method of height functions at higher resolutions, and it is shown to outperform the current combinations of height functions and parabolic fitting. The algorithm is conceptually simple and straightforward to implement on new and existing software frameworks for multiphase flow simulations thus enhancing their capabilities in challenging flow problems. We evaluate the proposed hybrid method on a number of two- and three-dimensional benchmark flow problems and illustrate its capabilities on simulations of flows involving bubble coalescence and turbulent multiphase flows.
[ { "docid": "3", "text": "The categories of this paper are: physics", "title": "" }, { "docid": "1", "text": "The categories of this paper are: cs", "title": "" }, { "docid": "2", "text": "The categories of this paper are: math", "title": "" } ]
[ { "docid": "34", "text": "The categories of this paper are: chem-ph", "title": "" }, { "docid": "33", "text": "The categories of this paper are: plasm-ph", "title": "" }, { "docid": "29", "text": "The categories of this paper are: funct-an", "title": "" }, { "docid": "9", "text": "The categories of this paper are: nlin", "title": "" }, { "docid": "31", "text": "The categories of this paper are: ao-sci", "title": "" }, { "docid": "10", "text": "The categories of this paper are: q-bio", "title": "" }, { "docid": "11", "text": "The categories of this paper are: hep-lat", "title": "" }, { "docid": "27", "text": "The categories of this paper are: comp-gas", "title": "" }, { "docid": "24", "text": "The categories of this paper are: dg-ga", "title": "" }, { "docid": "25", "text": "The categories of this paper are: patt-sol", "title": "" }, { "docid": "20", "text": "The categories of this paper are: acc-phys", "title": "" }, { "docid": "15", "text": "The categories of this paper are: nucl-ex", "title": "" }, { "docid": "13", "text": "The categories of this paper are: quant-ph", "title": "" }, { "docid": "5", "text": "The categories of this paper are: gr-qc", "title": "" }, { "docid": "21", "text": "The categories of this paper are: adap-org", "title": "" }, { "docid": "30", "text": "The categories of this paper are: q-alg", "title": "" } ]
2008.11683
Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts Query: Study of the Curvature of Liquid Surface surrounding a Rotating Spherical Object in Gravity Free Space Concept of curvature of liquid surrounding a spherical surface seems obvious in daily life, but based on earthly conditions everywhere. However, our understanding about the concept seems more transparent when we keep the system out of the usual earthly condition i.e. without gravity. Although existence of forces like adhesion and cohesion along liquid surface come to the fore even in the presence of other force like gravitational ones, but without gravity these forces are solely responsible for kind of observable phenomenon. Also, we introduced a form of force responsible for providing a form of potential dominating over the gravitational one. The discussion was provided an ingenious approach, by conserving surface energy, it still explains a lot about what can be done more to explore other properties of rotating liquids in free space.
[ { "docid": "3", "text": "The categories of this paper are: physics", "title": "" } ]
[ { "docid": "34", "text": "The categories of this paper are: chem-ph", "title": "" }, { "docid": "16", "text": "The categories of this paper are: stat", "title": "" }, { "docid": "37", "text": "The categories of this paper are: supr-con", "title": "" }, { "docid": "13", "text": "The categories of this paper are: quant-ph", "title": "" }, { "docid": "23", "text": "The categories of this paper are: solv-int", "title": "" }, { "docid": "30", "text": "The categories of this paper are: q-alg", "title": "" }, { "docid": "7", "text": "The categories of this paper are: hep-th", "title": "" }, { "docid": "21", "text": "The categories of this paper are: adap-org", "title": "" }, { "docid": "14", "text": "The categories of this paper are: math-ph", "title": "" }, { "docid": "6", "text": "The categories of this paper are: astro-ph", "title": "" }, { "docid": "1", "text": "The categories of this paper are: cs", "title": "" }, { "docid": "8", "text": "The categories of this paper are: hep-ex", "title": "" }, { "docid": "33", "text": "The categories of this paper are: plasm-ph", "title": "" }, { "docid": "27", "text": "The categories of this paper are: comp-gas", "title": "" }, { "docid": "22", "text": "The categories of this paper are: chao-dyn", "title": "" }, { "docid": "5", "text": "The categories of this paper are: gr-qc", "title": "" } ]
2012.04834
Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts Query: Finite curved creases in infinite isometric sheets Geometric stress focusing, e.g. in a crumpled sheet, creates point-like vertices that terminate in a characteristic local crescent shape. The observed scaling of the size of this crescent is an open question in the stress focusing of elastic thin sheets. According to experiments and simulations, this size depends on the outer dimension of the sheet, but intuition and rudimentary energy balance indicate it should only depend on the sheet thickness. We address this discrepancy by modeling the observed crescent with a more geometric approach, where we treat the crescent as a curved crease in an isometric sheet. Although curved creases have already been studied extensively, the crescent in a crumpled sheet has its own unique features: the material crescent terminates within the material, and the material extent is indefinitely larger than the extent of the crescent. These features together with the general constraints of isometry lead to constraints linking the surface profile to the crease-line geometry. We construct several examples obeying these constraints, showing finite curved creases are fully realizable. This approach has some particular advantages over previous analyses, as we are able to describe the entire material without having to exclude the region around the sharp crescent. Finally, we deduce testable relations between the crease and the surrounding sheet, and discuss some of the implications of our approach with regards to the scaling of the crescent size.
[ { "docid": "4", "text": "The categories of this paper are: cond-mat", "title": "" } ]
[ { "docid": "1", "text": "The categories of this paper are: cs", "title": "" }, { "docid": "22", "text": "The categories of this paper are: chao-dyn", "title": "" }, { "docid": "9", "text": "The categories of this paper are: nlin", "title": "" }, { "docid": "33", "text": "The categories of this paper are: plasm-ph", "title": "" }, { "docid": "28", "text": "The categories of this paper are: alg-geom", "title": "" }, { "docid": "8", "text": "The categories of this paper are: hep-ex", "title": "" }, { "docid": "2", "text": "The categories of this paper are: math", "title": "" }, { "docid": "26", "text": "The categories of this paper are: bayes-an", "title": "" }, { "docid": "29", "text": "The categories of this paper are: funct-an", "title": "" }, { "docid": "32", "text": "The categories of this paper are: atom-ph", "title": "" }, { "docid": "3", "text": "The categories of this paper are: physics", "title": "" }, { "docid": "7", "text": "The categories of this paper are: hep-th", "title": "" }, { "docid": "14", "text": "The categories of this paper are: math-ph", "title": "" }, { "docid": "5", "text": "The categories of this paper are: gr-qc", "title": "" }, { "docid": "0", "text": "The categories of this paper are: hep-ph", "title": "" }, { "docid": "31", "text": "The categories of this paper are: ao-sci", "title": "" } ]
2105.04015
Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts Query: Discomfort: a New Material for Interaction Design This paper proposes discomfort as a new material for HCI researchers and designers to consider in any application that helps a person develop a new skill, practice or state. Discomfort is a fundamental precursor of adaptation and adaptation leads to new skill, practice or state. The way in which discomfort is perceived, and when it is experienced, is also often part of a rationale for rejecting or adopting a practice. Engaging effectively with discomfort may lead to increased personal development. We propose incorporating discomfort-as-material into our designs explicitly as a mechanism to make desired adaptations available to more of us, more effectively and more of the time. To explore this possibility, we offer an overview of the physiology and neurology of discomfort in adaptation and propose 3 issues related to incorporating discomfort into design: preparation for discomfort, need for recovery, and value of the practice. We look forward in the Workshop to exploring and developing ideas for specific Discomfortable Designs to insource discomfort as part of positive, resilient adaptation.
[ { "docid": "1", "text": "The categories of this paper are: cs", "title": "" } ]
[ { "docid": "32", "text": "The categories of this paper are: atom-ph", "title": "" }, { "docid": "16", "text": "The categories of this paper are: stat", "title": "" }, { "docid": "33", "text": "The categories of this paper are: plasm-ph", "title": "" }, { "docid": "31", "text": "The categories of this paper are: ao-sci", "title": "" }, { "docid": "12", "text": "The categories of this paper are: nucl-th", "title": "" }, { "docid": "8", "text": "The categories of this paper are: hep-ex", "title": "" }, { "docid": "7", "text": "The categories of this paper are: hep-th", "title": "" }, { "docid": "0", "text": "The categories of this paper are: hep-ph", "title": "" }, { "docid": "30", "text": "The categories of this paper are: q-alg", "title": "" }, { "docid": "34", "text": "The categories of this paper are: chem-ph", "title": "" }, { "docid": "21", "text": "The categories of this paper are: adap-org", "title": "" }, { "docid": "6", "text": "The categories of this paper are: astro-ph", "title": "" }, { "docid": "3", "text": "The categories of this paper are: physics", "title": "" }, { "docid": "25", "text": "The categories of this paper are: patt-sol", "title": "" }, { "docid": "36", "text": "The categories of this paper are: cmp-lg", "title": "" }, { "docid": "2", "text": "The categories of this paper are: math", "title": "" } ]
1610.06225
Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts Query: Relaxation of a Simulated Lipid Bilayer Vesicle Compressed by an AFM Using Coarse-Grained Molecular Dynamics simulations, we study the relaxation of bilayer vesicles, uniaxially compressed by an Atomic Force Microscope (AFM) cantilever. The relaxation time exhibits a strong force-dependence. Force-compression curves are very similar to recent experiments wherein giant unilamellar vesicles were compressed in a nearly identical manner.
[ { "docid": "3", "text": "The categories of this paper are: physics", "title": "" }, { "docid": "4", "text": "The categories of this paper are: cond-mat", "title": "" } ]
[ { "docid": "23", "text": "The categories of this paper are: solv-int", "title": "" }, { "docid": "37", "text": "The categories of this paper are: supr-con", "title": "" }, { "docid": "36", "text": "The categories of this paper are: cmp-lg", "title": "" }, { "docid": "13", "text": "The categories of this paper are: quant-ph", "title": "" }, { "docid": "28", "text": "The categories of this paper are: alg-geom", "title": "" }, { "docid": "11", "text": "The categories of this paper are: hep-lat", "title": "" }, { "docid": "2", "text": "The categories of this paper are: math", "title": "" }, { "docid": "12", "text": "The categories of this paper are: nucl-th", "title": "" }, { "docid": "7", "text": "The categories of this paper are: hep-th", "title": "" }, { "docid": "30", "text": "The categories of this paper are: q-alg", "title": "" }, { "docid": "15", "text": "The categories of this paper are: nucl-ex", "title": "" }, { "docid": "8", "text": "The categories of this paper are: hep-ex", "title": "" }, { "docid": "10", "text": "The categories of this paper are: q-bio", "title": "" }, { "docid": "17", "text": "The categories of this paper are: q-fin", "title": "" }, { "docid": "5", "text": "The categories of this paper are: gr-qc", "title": "" }, { "docid": "16", "text": "The categories of this paper are: stat", "title": "" } ]
0801.2756
Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts Query: On universality of algebraic decays in Hamiltonian systems Hamiltonian systems with a mixed phase space typically exhibit an algebraic decay of correlations and of Poincare' recurrences, with numerical experiments over finite times showing system-dependent power-law exponents. We conjecture the existence of a universal asymptotic decay based on results for a Markov tree model with random scaling factors for the transition probabilities. Numerical simulations for different Hamiltonian systems support this conjecture and permit the determination of the universal exponent.
[ { "docid": "9", "text": "The categories of this paper are: nlin", "title": "" } ]
[ { "docid": "24", "text": "The categories of this paper are: dg-ga", "title": "" }, { "docid": "1", "text": "The categories of this paper are: cs", "title": "" }, { "docid": "32", "text": "The categories of this paper are: atom-ph", "title": "" }, { "docid": "3", "text": "The categories of this paper are: physics", "title": "" }, { "docid": "37", "text": "The categories of this paper are: supr-con", "title": "" }, { "docid": "12", "text": "The categories of this paper are: nucl-th", "title": "" }, { "docid": "30", "text": "The categories of this paper are: q-alg", "title": "" }, { "docid": "26", "text": "The categories of this paper are: bayes-an", "title": "" }, { "docid": "27", "text": "The categories of this paper are: comp-gas", "title": "" }, { "docid": "18", "text": "The categories of this paper are: econ", "title": "" }, { "docid": "13", "text": "The categories of this paper are: quant-ph", "title": "" }, { "docid": "33", "text": "The categories of this paper are: plasm-ph", "title": "" }, { "docid": "14", "text": "The categories of this paper are: math-ph", "title": "" }, { "docid": "36", "text": "The categories of this paper are: cmp-lg", "title": "" }, { "docid": "8", "text": "The categories of this paper are: hep-ex", "title": "" }, { "docid": "25", "text": "The categories of this paper are: patt-sol", "title": "" } ]
1812.05158
Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts Query: Interference-induced localization in quantum random walk on clean cyclic graph We quantitatively differentiate between the spreads of discrete-time quantum and classical random walks on a cyclic graph. Due to the closed nature of any cyclic graph, there is additional "collision"- like interference in the quantum random walk along with the usual interference in any such walk on any graph, closed or otherwise. We find that the quantum walker remains localized in comparison to the classical one, even in the absence of disorder, a phenomenon that is potentially attributable to the additional interference in the quantum case. This is to be contrasted with the situation on open graphs, where the quantum walker, being effectively denied the collision-like interference, garners a much higher spread than its classical counterpart. We use Shannon entropy of the position probability distribution to quantify spread of the walker in both quantum and classical cases. We find that for a given number of vertices on a cyclic graph, the entropy with respect to number of steps for the quantum walker saturates, on average, to a value lower than that for the corresponding classical one. We also analyze variations of the entropies with respect to system size, and look at the corresponding asymptotic growth rates.
[ { "docid": "13", "text": "The categories of this paper are: quant-ph", "title": "" } ]
[ { "docid": "20", "text": "The categories of this paper are: acc-phys", "title": "" }, { "docid": "19", "text": "The categories of this paper are: eess", "title": "" }, { "docid": "18", "text": "The categories of this paper are: econ", "title": "" }, { "docid": "30", "text": "The categories of this paper are: q-alg", "title": "" }, { "docid": "27", "text": "The categories of this paper are: comp-gas", "title": "" }, { "docid": "35", "text": "The categories of this paper are: mtrl-th", "title": "" }, { "docid": "2", "text": "The categories of this paper are: math", "title": "" }, { "docid": "28", "text": "The categories of this paper are: alg-geom", "title": "" }, { "docid": "15", "text": "The categories of this paper are: nucl-ex", "title": "" }, { "docid": "36", "text": "The categories of this paper are: cmp-lg", "title": "" }, { "docid": "34", "text": "The categories of this paper are: chem-ph", "title": "" }, { "docid": "22", "text": "The categories of this paper are: chao-dyn", "title": "" }, { "docid": "17", "text": "The categories of this paper are: q-fin", "title": "" }, { "docid": "3", "text": "The categories of this paper are: physics", "title": "" }, { "docid": "1", "text": "The categories of this paper are: cs", "title": "" }, { "docid": "10", "text": "The categories of this paper are: q-bio", "title": "" } ]
1405.6785
Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts Query: Optimal Algorithms for $L_1$-subspace Signal Processing We describe ways to define and calculate $L_1$-norm signal subspaces which are less sensitive to outlying data than $L_2$-calculated subspaces. We start with the computation of the $L_1$ maximum-projection principal component of a data matrix containing $N$ signal samples of dimension $D$. We show that while the general problem is formally NP-hard in asymptotically large $N$, $D$, the case of engineering interest of fixed dimension $D$ and asymptotically large sample size $N$ is not. In particular, for the case where the sample size is less than the fixed dimension ($N<D$), we present in explicit form an optimal algorithm of computational cost $2^N$. For the case $N \geq D$, we present an optimal algorithm of complexity $\mathcal O(N^D)$. We generalize to multiple $L_1$-max-projection components and present an explicit optimal $L_1$ subspace calculation algorithm of complexity $\mathcal O(N^{DK-K+1})$ where $K$ is the desired number of $L_1$ principal components (subspace rank). We conclude with illustrations of $L_1$-subspace signal processing in the fields of data dimensionality reduction, direction-of-arrival estimation, and image conditioning/restoration.
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