Research-Approximation of Bernoulli measures for non-uniformly hyperbolic systems

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Approximation of Bernoulli measures for non-uniformly hyperbolic systems

Speaker: LIAO Gang (Soochow University)
Time: May 10, 2018, 14:00-15:00
Location: Conference Room 415, Wisdom Valley 3#

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.