Countable Markov shifts with exponential mixing
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866916496885678080 |
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| author | Todd, Mike Zhao, Boyuan |
| author_facet | Todd, Mike Zhao, Boyuan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_02092 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Countable Markov shifts with exponential mixing Todd, Mike Zhao, Boyuan Dynamical Systems 37A25, 37D05, 37B10, 37D25 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. |
| title | Countable Markov shifts with exponential mixing |
| topic | Dynamical Systems 37A25, 37D05, 37B10, 37D25 |
| url | https://arxiv.org/abs/2403.02092 |