Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homogenization of quasiperiodic structures and two-scale
  cut-and-projection convergence   Quasiperiodic arrangements of the constitutive materials in composites result
in effective properties with very unusual electromagnetic and elastic
properties. The paper discusses the cut-and-projection method that is used to
characterize effective properties of quasiperiodic materials. Characterization
of cut-and-projection convergence limits of partial differential operators is
presented, and correctors are established. We provide the proofs of the results
announced in (Wellander et al., 2018) and give further examples. Applications
to problems of interest in physics include electrostatic, elastostatic and
quasistatic magnetic cases.

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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
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The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
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The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
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The categories of this paper are: math-ph
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The categories of this paper are: econ
12
The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an