Random perturbations of nonuniformly expanding maps

• Type: Article in International Scientific Journal
• Date: 2003

Authors

alves, jf (Author) FCUP; araujo, v (Author) Other

Journal

Title: Asterisque

Pages: 25-62

ISSN: 0303-1179

Publisher: Societe Mathematique de France

Indexing

ISI Web of Knowledge - 48 Citations

Scopus - 54 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-000-J6D

Abstract (EN): We give both sufficient conditions and necessary conditions for the stochastic stability of nonuniformly expanding maps either with or without critical sets. We also show that the number of probability measures describing the statistical asymptotic behaviour of random orbits is bounded by the number of SRB measures if the noise level is small enough. As an application of these results we prove the stochastic stability of certain classes of nonuniformly expanding maps introduced in [Vi1] and [ABV].

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 38