Statistical stability for robust classes of maps with non-uniform expansion

• Type: Article in International Scientific Journal
• Date: 2002

Authors

alves, jf (Author) FCUP; viana, m (Author) Other

Journal

Title: Ergodic Theory and Dynamical Systems

Vol. 22

Pages: 1-32

ISSN: 0143-3857

Publisher: Cambridge University Press

Indexing

ISI Web of Knowledge - 75 Citations

Scopus - 69 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-000-QDE

DOI: 10.1017/s014385702000019

Abstract (EN): We consider open sets of transformations in a manifold M, exhibiting non-uniformly expanding behavior in some forward invariant domain U subset of M. Assuming that each transformation has a unique Sinai-Ruelle-Bowen (SRB) measure in U, and some general uniformity conditions, we prove that the SRB measure varies continuously with the dynamics in the L-1-norm. We also describe a concrete application.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 32