Exponentially mixing SRB measures are Bernoulli
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908395312775168 |
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| author | Maldonado, Amadeus |
| author_facet | Maldonado, Amadeus |
| contents | We prove two results for $C^{1+α}$ diffeomorphisms of a compact manifold preserving an SRB measure $μ$. First, if $μ$ is exponentially mixing, then it is Bernoulli. Second, if $μ$ is obtained as an exponential volume limit, then it is also Bernoulli. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_04044 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exponentially mixing SRB measures are Bernoulli Maldonado, Amadeus Dynamical Systems We prove two results for $C^{1+α}$ diffeomorphisms of a compact manifold preserving an SRB measure $μ$. First, if $μ$ is exponentially mixing, then it is Bernoulli. Second, if $μ$ is obtained as an exponential volume limit, then it is also Bernoulli. |
| title | Exponentially mixing SRB measures are Bernoulli |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2504.04044 |