Stretched-exponential mixing for surface semiflows and Anosov flows
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916293375950848 |
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| author | Zhang, Daofei |
| author_facet | Zhang, Daofei |
| contents | For a surface semiflow that is a suspension of a \( C^{1+α} \) expanding Markov interval map, we prove that, under the assumptions that the roof function is Lipschitz continuous and not cohomologous to a locally constant function, the semiflow exhibits stretched-exponential mixing with respect to the SRB measure. This result extends to hyperbolic skew-product semiflows and hyperbolic attractors. Specifically, codimension-one topologically mixing Anosov flows with Lipschitz continuous stable foliations demonstrate stretched-exponential mixing with respect to their SRB measures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_12759 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stretched-exponential mixing for surface semiflows and Anosov flows Zhang, Daofei Dynamical Systems For a surface semiflow that is a suspension of a \( C^{1+α} \) expanding Markov interval map, we prove that, under the assumptions that the roof function is Lipschitz continuous and not cohomologous to a locally constant function, the semiflow exhibits stretched-exponential mixing with respect to the SRB measure. This result extends to hyperbolic skew-product semiflows and hyperbolic attractors. Specifically, codimension-one topologically mixing Anosov flows with Lipschitz continuous stable foliations demonstrate stretched-exponential mixing with respect to their SRB measures. |
| title | Stretched-exponential mixing for surface semiflows and Anosov flows |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2406.12759 |