Markov structures and decay of correlations for non-uniformly expanding dynamical systems

• Type: Article in International Scientific Journal
• Date: 2005

Authors

alves, jf (Author) FCUP; luzzatto, s (Author) Other; pinheiro, v (Author) Other

Journal

The Journal is awaiting validation by the Administrative Services.

Title: ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE

Vol. 22

Pages: 817-839

ISSN: 0294-1449

Indexing

ISI Web of Knowledge - 50 Citations

Scopus - 54 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-000-55G

DOI: 10.1016/j.anihpc.2004.12.002

Abstract (EN): We consider non-uniformly expanding maps on compact Riemannian manifolds of arbitrary dimension, possibly having discontinuities and/or critical sets, and show that under some general conditions they admit an induced Markov tower structure. Moreover, the decay of the return time function can be controlled in terms of the time generic points need to achieve some uniform expanding behavior. As a consequence we obtain some rates for the decay of correlations of those maps and conditions for the validity of the Central Limit Theorem.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 23