Statistical properties of one-dimensional maps under weak hyperbolicity assumptions

2010/04/01 by Rivera-Letelier, Juan, Shen, Weixiao
#Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1004.0230

Abstract

For a real or complex one-dimensional map satisfying a weak hyperbolicity assumption, we study the existence and statistical properties of physical measures, with respect to geometric reference measures. We also study geometric properties of these measures.

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