All properly ergodic Markov chains over a free group are orbit equivalent
Dynamical Systems
2017-06-30 v1 Operator Algebras
Probability
Abstract
Previous work showed that all Bernoulli shifts over a free group are orbit-equivalent. This result is strengthened here by replacing Bernoulli shifts with the wider class of properly ergodic countable state Markov chains over a free group. A list of related open problems is provided.
Cite
@article{arxiv.1706.09483,
title = {All properly ergodic Markov chains over a free group are orbit equivalent},
author = {Lewis Bowen},
journal= {arXiv preprint arXiv:1706.09483},
year = {2017}
}
Comments
Comments and questions welcome!