Cover time for countable Markov shifts
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914471199375360 |
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| author | shaabanian, Saeed |
| author_facet | shaabanian, Saeed |
| contents | Cover time, in the context of dynamical systems, quantifies the rate at which orbits cover the system. We prove that for countable full shifts with a Gibbs measure, equipped with a natural metric, the rate of covering of orbits of points behaves according to the minimum measure of balls. Moreover, this rate exhibits sensitivity to changes in the metric. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_12504 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Cover time for countable Markov shifts shaabanian, Saeed Dynamical Systems Cover time, in the context of dynamical systems, quantifies the rate at which orbits cover the system. We prove that for countable full shifts with a Gibbs measure, equipped with a natural metric, the rate of covering of orbits of points behaves according to the minimum measure of balls. Moreover, this rate exhibits sensitivity to changes in the metric. |
| title | Cover time for countable Markov shifts |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2604.12504 |