All properly ergodic Markov chains over a free group are orbit equivalent
classification
🧮 math.DS
math.OAmath.PR
keywords
freegroupbernoullichainsergodicmarkovproperlyshifts
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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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