Markov structures for non-uniformly expanding maps on compact manifolds in arbitrary dimension

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

Authors

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

Journal

Title: Electronic Research Announcements of the American Mathematical Society

Vol. 9

Pages: 26-31

ISSN: 1079-6762

Publisher: American Mathematical Society

Indexing

ISI Web of Knowledge - 2 Citations

Scopus - 3 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-000-JHG

DOI: 10.1090/s1079-6762-03-00106-9

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 for which the decay of the tail of the return time function can be controlled in terms of the time generic points needed 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: 6