A characterization of zero entropy loosely Bernoulli flows via FK-pseudometric
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917955252518912 |
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| author | Trilles, Alexandre |
| author_facet | Trilles, Alexandre |
| contents | We introduce the Feldman-Katok pseudometric (FK-pseudometric for short) for flows. We then provide a characterization of zero entropy loosely Bernoulli measures for continuous flows via the FK-pseudometric extending the result known for discrete-time dynamical systems. We also provide a purely topological characterization of uniquely ergodic continuous flows whose unique invariant measure is zero entropy loosely Bernoulli. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_03559 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A characterization of zero entropy loosely Bernoulli flows via FK-pseudometric Trilles, Alexandre Dynamical Systems 37A35, 37A10 (Primary) 37B05 (Secondary) We introduce the Feldman-Katok pseudometric (FK-pseudometric for short) for flows. We then provide a characterization of zero entropy loosely Bernoulli measures for continuous flows via the FK-pseudometric extending the result known for discrete-time dynamical systems. We also provide a purely topological characterization of uniquely ergodic continuous flows whose unique invariant measure is zero entropy loosely Bernoulli. |
| title | A characterization of zero entropy loosely Bernoulli flows via FK-pseudometric |
| topic | Dynamical Systems 37A35, 37A10 (Primary) 37B05 (Secondary) |
| url | https://arxiv.org/abs/2404.03559 |