Non-Stationary Non-Uniform Hyperbolicity: SRB Measures for Dissipative Maps

Vaughn Climenhaga, Dmitry Dolgopyat, Yakov Pesin

Research output: Contribution to journalArticle

6 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)553-602
Number of pages50
JournalCommunications In Mathematical Physics
Volume346
Issue number2
DOIs
StatePublished - Sep 1 2016

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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