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Mixing and decay of correlations in non-uniformly expanding maps: a survey of recent results

Stefano Luzzatto
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Abstract

We discuss recent results on decay of correlations for non-uniformly expanding maps. Throughout the discussion, we address the question of why different dynamical systems have different rates of decay of correlations and how this may reflect underlying geometrical characteristics of the system.

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Stefano Luzzatto. 2004-11-02. Mixing and decay of correlations in non-uniformly expanding maps: a survey of recent results. https://arxiv.org/abs/math/0301319

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