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math.DS2018★ 5 cited
New criterion of physical measures for partially hyperbolic diffeomorphisms
Yongxia Hua, Fan Yang, Jiagang Yang
We show that for any partially hyperbolic diffeomorphism, there is a full volume subset, such that any Cesaro limit of any point in this subset satisfies the Pesin formula fo…
math.DS2018★ 8 cited
Local Escape Rates for -mixing Dynamical Systems
Nicolai Haydn, Fan Yang
We show that dynamical systems with -mixing measures have local escape rates which are exponential with rate at non-periodic points and equal to the extremal index at period…