Non-Stationary Non-Uniform Hyperbolicity: SRB Measures for Dissipative Maps
نویسندگان
چکیده
منابع مشابه
Non-stationary Non-uniform Hyperbolicity: Srb Measures for Dissipative Maps
We prove the existence of SRB measures for diffeomorphisms where a positive volume set of initial conditions satisfy an “effective hyperbolicity” condition that guarantees certain recurrence conditions on the iterates of Lebesgue measure. We give examples of systems that do not admit a dominated splitting but can be shown to have SRB measures using our methods.
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2016
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-016-2710-z