arXiv Analytics

Sign in

arXiv:1005.4149 [math.DS]AbstractReferencesReviewsResources

Uniqueness of SRB measures for transitive diffeomorphisms on surfaces

F. Rodriguez Hertz, M. A. Rodriguez Hertz, A. Tahzibi, R. Ures

Published 2010-05-22Version 1

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.

Related articles: Most relevant | Search more
arXiv:math/0610605 [math.DS] (Published 2006-10-19)
A hyperbolic diffeomorphism with countably many ergodic components near identity
arXiv:1505.06148 [math.DS] (Published 2015-05-22)
Hyperbolic periodic points for chain hyperbolic homoclinic classes
arXiv:0803.2654 [math.DS] (Published 2008-03-18)
Existence, uniqueness and stability of equilibrium states for non-uniformly expanding maps