Uniqueness of SRB measures for transitive diffeomorphisms on surfaces

Details Uniqueness of SRB measures for transitive diffeomorphisms on surfaces Uniqueness of SRB measures for transitive diffeomorphisms on surfaces

2010-05-22

arxiv.org/abs/1005.4149v1

Mathematics

Dynamical Systems

18 pages, 4 figures

Scientific paper

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.

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