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arXiv · 2403.02092

Countable Markov shifts with exponential mixing

Mike Todd·Boyuan Zhao
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Abstract

We give a set of equivalent conditions for a potential on a Countable Markov Shift to have strong positive recurrence, which is also equivalent to having exponential decay of correlations. A key ingredient of our proofs is quantifying how the shift behaves at its boundary.

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Mike Todd, Boyuan Zhao. 2024-03-04. Countable Markov shifts with exponential mixing. https://arxiv.org/abs/2403.02092

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