Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Markov chains with exponential return times are finitary   Consider an ergodic Markov chain on a countable state space for which the
return times have exponential tails. We show that the stationary version of any
such chain is a finitary factor of an i.i.d. process. A key step is to show
that any stationary renewal process whose jump distribution has exponential
tails and is not supported on a proper subgroup of $\mathbb{Z}$ is a finitary
factor of an i.i.d. process.

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The categories of this paper are: hep-ph
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The categories of this paper are: cond-mat
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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: acc-phys
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The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: cs
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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int