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Approximation of Bernoulli measures for non-uniformly hyperbolic systems

Author:刚    Publicsh date:2017-07-09    Clicks:
报告人：廖刚  苏州大学题目：Approximation of Bernoulli measures for non-uniformly hyperbolic systems时间：2017年07月10日 15:00 地点：华中科技大学恩明楼813摘要：​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 mea...

报告人：廖刚  苏州大学

题目：Approximation of Bernoulli measures for non-uniformly hyperbolic systems

时间：2017年07月10日 15:00
地点：华中科技大学恩明楼813
摘要：
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 with dominated Oseledets splittings.