Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Periodic and eventually periodic points of affine infra-nilmanifold
  endomorphisms   In this paper, we study the periodic and eventually periodic points of affine
infra-nilmanifold endomorphisms. On the one hand, we give a sufficient
condition for a point of the infra-nilmanifold to be (eventually) periodic. In
this way we show that if an affine infra-nilmanifold endomorphism has a
periodic point, then its set of periodic points forms a dense subset of the
manifold. On the other hand, we deduce a necessary condition for eventually
periodic points from which a full description of the set of eventually periodic
points follows for an arbitrary affine infra-nilmanifold endomorphism.

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The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: plasm-ph
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The categories of this paper are: nlin
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: stat