Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Equilibrium States for Partially Hyperbolic Horseshoes   We prove existence and uniqueness of equilibrium states for a family of
partially hyperbolic systems, with respect to Holder continuous potentials with
small variation. The family comes from the projection, on the center-unstable
direction, of a family of partially hyperbolic horseshoes introduced in
[D\'iaz,L., Horita,V., Rios, I., Sambarino, M., Destroying horseshoes via
heterodimensional cycles: generating bifurcations inside homoclinic classes,
Ergodic Theory and Dynamical Systems, 2009]. For the original three dimensional
system, we consider potentials with small variation, constant on local stable
manifolds, obtaining existence and uniqueness of equilibrium states.

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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ph
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The categories of this paper are: physics
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th