Dynamical Systems Seminar

Approximation of Bernoulli measures for non-uniformly hyperbolic systems

  • 演讲者:廖刚(苏州大学)

  • 时间:2018-05-10 14:00-15:00

  • 地点:慧园3栋 415报告厅

Abstract: An invariant measure is called a Bernoulli measure if the corresponding dynamics is isomorphic to a Bernoulli shift. We prove that for C^r (r>1) 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.