Escape rates for Gibbs measures

2010/09/01 by Ferguson, Andrew, Pollicott, Mark
#28A80 #37D35 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1009.0086

Abstract

We study the asymptotic behaviour of the escape rate of a Gibbs measure supported on a conformal repeller through a small hole. There are additional applications to the convergence of Hausdorff dimension of the survivor set.

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