Arxiv
| Presentation Name🐈⬛： | Approximation of Bernoulli measures for non-uniformly hyperbolic systems |
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| Presenter🧑🏿⚕️： | 廖刚教授 |
| Date🤝： | 2016-10-31 |
| Location： | 光华东主楼1801 |
| Abstract： | An invariant measure is called a Bernoulli measure if the corresponding dynamics is isomorphic to a Bernoulli shift. We prove that for C^{1+α} diffeomorphisms any weak-mixing hyperbolic measure could be approximated by Bernoulli measures. This also holds true for C^1 diffeomorphisms preserving a weak-mixing hyperbolic measure and the Oseledets decomposition with respect to the measure is dominated. |
| Annual Speech Directory： | No.229 |
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