Statistical stability and continuity of SRB entropy for systems with Gibbs-Markov structures

Details Statistical stability and continuity of SRB entropy for systems with Gibbs-Markov structures Statistical stability and continuity of SRB entropy for systems with Gibbs-Markov structures

2009-05-08

arxiv.org/abs/0905.1165v1

Comm. Math. Phys., 296, no. 3, 2010, 739- 767

Mathematics

Dynamical Systems

Scientific paper

We present conditions on families of diffeomorphisms that guarantee
statistical stability and SRB entropy continuity. They rely on the existence of
horseshoe-like sets with infinitely many branches and variable return times. As
an application we consider the family of Henon maps within the set of
Benedicks-Carleson parameters.

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