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arXiv · 1806.09349

Finitary isomorphisms of some infinite entropy Bernoulli flows

Terry Soo
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Abstract

A consequence of Ornstein theory is that the infinite entropy flows associated with Poisson processes and continuous-time irreducible Markov chains on a finite number of states are isomorphic as measure-preserving systems. We give an elementary construction of such an isomorphism that has an additional finitariness property, subject to the additional conditions that the Markov chain has a uniform holding rate and a mixing skeleton.

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Terry Soo. 2018-06-25. Finitary isomorphisms of some infinite entropy Bernoulli flows. https://arxiv.org/abs/1806.09349

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