The geometric approach for constructing Sinai-Ruelle-Bowen measures
| Autor: | Yakov Pesin, Stefano Luzzatto, Vaughn Climenhaga |
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| Rok vydání: | 2016 |
| Předmět: |
Class (set theory)
Mathematics::Dynamical Systems Dynamical systems theory 010102 general mathematics Statistical and Nonlinear Physics Dynamical Systems (math.DS) 01 natural sciences Hyperbolic systems Algebra Nonlinear Sciences::Chaotic Dynamics 0103 physical sciences FOS: Mathematics 010307 mathematical physics 0101 mathematics Mathematics - Dynamical Systems Mathematical Physics Mathematics |
| DOI: | 10.48550/arxiv.1607.04685 |
| Popis: | 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. Comment: 30 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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