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arXiv · 1811.07775

Sharp polynomial bounds on decay of correlations for multidimensional nonuniformly hyperbolic systems and billiards

Henk Bruin·Ian Melbourne·Dalia Terhesiu
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Abstract

Gouezel 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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Henk Bruin, Ian Melbourne, Dalia Terhesiu. 2018-11-19. Sharp polynomial bounds on decay of correlations for multidimensional nonuniformly hyperbolic systems and billiards. https://arxiv.org/abs/1811.07775

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