paper

Finitary isomorphisms of some infinite entropy Bernoulli flows

arXiv:1806.09349

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.

14 pages; minor revisions

Finitary isomorphisms of some infinite entropy Bernoulli flows · wovepaper