Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classification of Backward Filtrations and Factor Filtrations: Examples
  from Cellular Automata   We consider backward filtrations generated by processes coming from
deterministic and probabilistic cellular automata. We prove that these
filtrations are standard in the classical sense of Vershik's theory, but we
also study them from another point of view that takes into account the
measurepreserving action of the shift map, for which each sigma-algebra in the
filtrations is invariant. This initiates what we call the dynamical
classification of factor filtrations, and the examples we study show that this
classification leads to different results.

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The categories of this paper are: hep-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
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The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th