Finitary isomorphisms of some infinite entropy Bernoulli flows
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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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I thank Zemer Kosloff and Amanda Wilkens for their helpful conversations. I also thank the referee for carefully reviewing this article and providing insightful suggestions and comments.
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