Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Linear zero mode spectra for quasicrystals   A converse is given to the well-known fact that a hyperplane localised zero
mode of a crystallographic bar-joint framework gives rise to a line or lines in
the zero mode (RUM) spectrum. These connections motivate definitions of linear
zero mode spectra, for an aperiodic bar-joint framework $G$, that are based on
relatively dense sets of linearly localised flexes. For a Delone framework in
the plane the limit spectrum ${\bf L}_{lim}(G, a)$ is defined in this way, as a
subset of the reciprocal space for a reference basis $a$ of the ambient space.
A smaller spectrum, the slippage spectrum ${\bf L}_{slip}(G, a)$, is also
defined. In the case of the quasicrystal parallelogram frameworks associated
with regular multi-grids, in the sense of de Bruijn and Beenker, these spectra
coincide and are determined in terms of the geometry of $G$.

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The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol