Countable Markov shifts with exponential mixing
Dynamical Systems
2024-11-28 v2
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.
Cite
@article{arxiv.2403.02092,
title = {Countable Markov shifts with exponential mixing},
author = {Mike Todd and Boyuan Zhao},
journal= {arXiv preprint arXiv:2403.02092},
year = {2024}
}
Comments
Some updates in the exposition