Bowen measure for derived from Anosov diffeomorphims

Details Bowen measure for derived from Anosov diffeomorphims Bowen measure for derived from Anosov diffeomorphims

2009-04-07

arxiv.org/abs/0904.1036v1

Mathematics

Dynamical Systems

17 pages, 6 figures

Scientific paper

In this work we give general conditions under which a $C^0$ perturbation of an expansive homeomorphim with specification property has an unique Bowen measure, that is, there is an ergodic probability measure which is the unique measure maximizing the topological entropy. We apply these conditions to show that several derived from Anosov diffeomorphims have a unique Bowen measure.

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