The geometric approach for constructing Sinai-Ruelle-Bowen measures
Dynamical Systems
2016-09-21 v1
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.
Keywords
Cite
@article{arxiv.1607.04685,
title = {The geometric approach for constructing Sinai-Ruelle-Bowen measures},
author = {Vaughn Climenhaga and Stefano Luzzatto and Yakov Pesin},
journal= {arXiv preprint arXiv:1607.04685},
year = {2016}
}
Comments
30 pages