an:01753642
Zbl 1067.37034
Alves, Jos?? F.; Viana, Marcelo
Statistical stability for robust classes of maps with non-uniform expansion
EN
Ergodic Theory Dyn. Syst. 22, No. 1, 1-32 (2002).
00081781
2002
j
37D25 37C30
nonuniform expansion; stabiltiy; SRB measure
The authors deal with properties of SRB measures. To this end, they consider open sets of transformations in a manifold \(\mathcal M\), exhibiting nonuniformly expanding behaviour in some invariant domain \(W\subset \mathcal M\). Under some suitable assumptions on each transformations the authors prove that the Sinai-Ruelle-Bowen (SRB) measure varies continuously with the dynamics in the \(L^1\) norm. The authors present a concrete application as well.
Messoud A. Efendiev (Berlin)