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Decay of correlations for nonuniformly expanding systems

Sebastien Gouezel
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Abstract

We estimate the speed of decay of correlations for general nonuniformly expanding dynamical systems, using estimates on the time the system takes to become really expanding. Our method can deal with fast decays, such as exponential or stretched exponential. We prove in particular that the correlations of the Alves-Viana map decay in $O(e^{-c \sqrt{n}})$.

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Sebastien Gouezel. 2004-12-13. Decay of correlations for nonuniformly expanding systems. https://arxiv.org/abs/math/0401184

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