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arxiv: 1009.0086 · v2 · pith:WPUCRIECnew · submitted 2010-09-01 · 🧮 math.DS

Escape rates for Gibbs measures

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keywords escapegibbsadditionalapplicationsasymptoticbehaviourconformalconvergence
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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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