Countable Markov shifts with exponential mixing

Published 4 Mar 2024 in math.DS | (2403.02092v2)

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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