Volume 4 (2021)
Bruin, Henk; Melbourne, Ian; Terhesiu, Dalia
Sharp polynomial bounds on decay of correlations for multidimensional nonuniformly hyperbolic systems and billiards
Annales Henri Lebesgue, Volume 4 (2021), pp. 407-451.

Metadata

DOI10.5802/ahl.76
Keywords Sharp mixing rates, nonuniform hyperbolicity, billiards, multidimensional intermittent maps, operator renewal theory

Abstract

Gouëzel and Sarig introduced operator renewal theory as a method to prove sharp results on polynomial decay of correlations for certain classes of nonuniformly expanding maps. In this paper, we apply the method to planar dispersing billiards and multidimensional nonMarkovian intermittent maps.


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