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https://repositorio.ufba.br/handle/ri/14133
metadata.dc.type: | Artigo de Periódico |
Title: | Lyapunov exponents and rates of mixing for one-dimensional maps |
Other Titles: | Ergodic Theory and Dynamical Systems |
Authors: | Pinheiro, Vilton Jeovan Viana Luzzatto, Stefano Alves, José Ferreira |
metadata.dc.creator: | Pinheiro, Vilton Jeovan Viana Luzzatto, Stefano Alves, José Ferreira |
Abstract: | We show that one-dimensional maps f with strictly positive Lyapunov exponents almost everywhere admit an absolutely continuous invariant measure. If f is topologically transitive, some power of f is mixing and, in particular, the correlation of Hölder continuous observables decays to zero. The main objective of this paper is to show that the rate of decay of correlations is determined, in some situations, by the average rate at which typical points start to exhibit exponential growth of the derivative. |
metadata.dc.publisher.country: | Brasil |
metadata.dc.rights: | Acesso Aberto |
URI: | http://repositorio.ufba.br/ri/handle/ri/14133 |
Issue Date: | 2004 |
Appears in Collections: | Artigo Publicado em Periódico (IME) |
Files in This Item:
File | Description | Size | Format | |
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VILTON PINHEIRO.pdf | 389,71 kB | Adobe PDF | View/Open |
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