科研之友
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摘要
In this article we give a new observation of Pesin's entropy formula, motivated from MaA (c)'s proof of (Ergod Theory Dyn Sys 1:95-102, 1981). Let be a compact Riemann manifold and be a diffeomorphism on . If is an -invariant probability measure which is absolutely continuous relative to Lebesgue measure and nonuniformly-Hlder-continuous(see Definition 1.1), then we have Pesin's entropy formula, i.e., the metric entropy satisfies where are the Lyapunov exponents at with respect to Nonuniformly-H lder-continuous is a new notion from probabilistic perspective weaker than.
- 出版日期2014-9
- 单位复旦大学
