Please use this identifier to cite or link to this item:
https://repositorio.ufba.br/handle/ri/7317
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: | Alves, José Ferreira Luzzatto, Stefano Pinheiro, Vilton Jeovan Viana |
metadata.dc.creator: | Alves, José Ferreira Luzzatto, Stefano Pinheiro, Vilton Jeovan Viana |
Abstract: | We show that one-dimensionalmaps f with strictly positive Lyapunov exponents almost everywhere admit an absolutely continuous invariantmeasure. If f is topologically transitive, some power of f is mixing and, in particular, the correlation of H¨older 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. |
URI: | http://www.repositorio.ufba.br/ri/handle/ri/7317 |
Issue Date: | 2004 |
Appears in Collections: | Artigo Publicado em Periódico (IME) |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
displayFulltext.pdf | 636,61 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.