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- Title
The Geometric Approach for Constructing Sinai-Ruelle-Bowen Measures.
- Authors
Climenhaga, Vaughn; Luzzatto, Stefano; Pesin, Yakov
- 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.
- Subjects
HYPERBOLIC geometry; DIFFEOMORPHISMS; RIEMANNIAN manifolds; ATTRACTORS (Mathematics); LYAPUNOV exponents
- Publication
Journal of Statistical Physics, 2017, Vol 166, Issue 3/4, p467
- ISSN
0022-4715
- Publication type
Article
- DOI
10.1007/s10955-016-1608-7