Uniqueness of SRB measures for transitive diffeomorphisms on surfaces
Dynamical Systems
2015-05-19 v1
Abstract
We give a description of ergodic components of SRB measures in terms of ergodic homoclinic classes associated to hyperbolic periodic points. For transitive surface diffeomorphisms, we prove that there exists at most one SRB measure.
Cite
@article{arxiv.1005.4149,
title = {Uniqueness of SRB measures for transitive diffeomorphisms on surfaces},
author = {F. Rodriguez Hertz and M. A. Rodriguez Hertz and A. Tahzibi and R. Ures},
journal= {arXiv preprint arXiv:1005.4149},
year = {2015}
}
Comments
18 pages, 4 figures