Uniqueness of SRB measures for transitive diffeomorphisms on surfaces

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.

18 pages, 4 figures

References in corpus (2)

• New criteria for ergodicity and non-uniform hyperbolicity
• A Criterion For Ergodicity of Non-uniformly hyperbolic Diffeomorphisms

Cited by in corpus (8)

• The geometric approach for constructing Sinai-Ruelle-Bowen measures
• Non-stationary non-uniform hyperbolicity: SRB measures for dissipative maps
• On the smooth dependence of SRB measures for partially hyperbolic systems
• On the non-robustness of intermingled basins
• SRB measures and homoclinic relation for Endomorphisms
• Canonically Codable Points and Irreducible Codings
• Non-uniformly hyperbolic endomorphisms
• SRB measures for C $\infty$ surface diffeomorphisms