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Mathematics > Dynamical Systems

Title: Countable Markov shifts with exponential mixing

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.
Comments: Comments welcome
Subjects: Dynamical Systems (math.DS)
MSC classes: 37A25, 37D05, 37B10, 37D25
Cite as: arXiv:2403.02092 [math.DS]
  (or arXiv:2403.02092v1 [math.DS] for this version)

Submission history

From: Mike Todd [view email]
[v1] Mon, 4 Mar 2024 14:53:06 GMT (22kb)

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