Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Simple Condition for Bounded Displacement   We study separated nets that correspond to substitution tilings of the
Euclidean space. We give a simple condition, in terms of the eigenvalues and
eigenspaces of the substitution matrix, to know whether the separated net is a
bounded displacement of the integer lattice or not.

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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
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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: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: physics
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol