References & Citations
Mathematics > Dynamical Systems
Title: Countable Markov shifts with exponential mixing
(Submitted on 4 Mar 2024)
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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