All properly ergodic Markov chains over a free group are orbit equivalent

Lewis Bowen

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arXiv · 1706.09483

All properly ergodic Markov chains over a free group are orbit equivalent

Lewis Bowen

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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.

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Lewis Bowen. 2017-06-28. All properly ergodic Markov chains over a free group are orbit equivalent. https://arxiv.org/abs/1706.09483

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