Electronic Research Announcements of the American Mathematical Society

Autor: Alves, José Ferreira, Luzzatto, Stefano, Pinheiro, Vilton Jeovan Viana
Jazyk: angličtina
Rok vydání: 2003
Zdroj: Repositório Institucional da UFBA
Universidade Federal da Bahia (UFBA)
instacron:UFBA
ISSN: 1079-6762
DOI: 10.1090/S1079-6762-03-00106-9
Popis: p. 26-31 Submitted by Suelen Reis (suelen_suzane@hotmail.com) on 2012-12-10T18:49:56Z No. of bitstreams: 1 S1079-6762-03-00106-9.pdf: 290988 bytes, checksum: c7e7a9b646e80da2699a10caf11aa26f (MD5) Made available in DSpace on 2012-12-10T18:49:56Z (GMT). No. of bitstreams: 1 S1079-6762-03-00106-9.pdf: 290988 bytes, checksum: c7e7a9b646e80da2699a10caf11aa26f (MD5) Previous issue date: 2003-02 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.
Databáze: OpenAIRE