Finitary isomorphisms of some infinite entropy Bernoulli flows
Dynamical Systems
2018-10-09 v2 Probability
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.
Keywords
Cite
@article{arxiv.1806.09349,
title = {Finitary isomorphisms of some infinite entropy Bernoulli flows},
author = {Terry Soo},
journal= {arXiv preprint arXiv:1806.09349},
year = {2018}
}
Comments
14 pages; minor revisions