The Geometric Approach for Constructing Sinai–Ruelle–Bowen Measures

Vaughn Climenhaga, Stefano Luzzatto, Yakov Pesin

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

An important class of ‘physically relevant’ measures for dynamical systems with hyperbolic behavior is given by Sinai–Ruelle–Bowen (SRB) measures. We survey various techniques for constructing SRB measures and studying their properties, paying special attention to the geometric ‘push-forward’ approach. After describing this approach in the uniformly hyperbolic setting, we review recent work that extends it to non-uniformly hyperbolic systems.

Original languageEnglish (US)
Pages (from-to)467-493
Number of pages27
JournalJournal of Statistical Physics
Volume166
Issue number3-4
DOIs
StatePublished - Feb 1 2017

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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