Cohomologia e propriedades estocásticas de transformações expansoras e observáveis lipschitzianos / Cohomology and stochastics properties of expanding maps and lipschitzians observables

AUTOR(ES)

Amanda de Lima

DATA DE PUBLICAÇÃO

2007

RESUMO

We prove the Central Limit Theorem for piecewise expanding interval transformations and observables with bounded variation, using the approach of J.Rousseau-Egele as described by A. Broise. This approach makes use of pertubations of the so-called Ruelle-Perron-Frobenius transfer operator. An original contribution is given in the last chapter, where we prove that for Markovian expanding interval maps all observables which are non constant, continuous and have bounded variation are not infinitely cohomologous with zero, generalizing a result by Bamón, Rivera-Letelier, Urzúa and Kiwi for Lipschitzian observables and the transformations z POT. n. Our demosntration uses the theory of Ruelle-Perron-Frobenius operators developed in the previos chapters

ASSUNTO(S)

bounded variation transformações expansaroras variação limitada central limit theorem cohomology cohomologia teorema do limite central expanding maps

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