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

• Tipo: Artigo em Revista Científica Internacional
• Data: 2003

Autores

alves, jf (Autor) FCUP; luzzatto, s (Autor) Outra; pinheiro, v (Autor) Outra

Revista

Título: Electronic Research Announcements of the American Mathematical Society

Vol. 9

Páginas: 26-31

ISSN: 1079-6762

Editora: American Mathematical Society

Indexação

ISI Web of Knowledge - 2 Citações

Scopus - 3 Citações

Classificação Científica

FOS: Ciências exactas e naturais > Matemática

Outras Informações

ID Authenticus: 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 6