A two-step entropy-matching construction proves that countable-state mixing renewal processes with exponential return times are finitarily isomorphic to IID processes, including the infinite-entropy case.
Markov chains with exponential return times are finitary
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A new proof of finitary isomorphism for Markov chains
A two-step entropy-matching construction proves that countable-state mixing renewal processes with exponential return times are finitarily isomorphic to IID processes, including the infinite-entropy case.