Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Prevalence of Odometers in Cellular Automata   We consider a left permutive cellular automaton Phi, with no memory and
positive anticipation, defined on the space of all doubly infinite sequences
with entries from a finite alphabet. For each such automaton that is not
one-to-one, there is a dense set of points X (which is large in another sense
too) such that the Phi-orbit closure of each x in X is topologically conjugate
to an odometer (the ``+1'' map on a projective limit of finite cyclic groups).
We identify this odometer in several cases.

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The categories of this paper are: econ
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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: hep-th
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas