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

Mathematics – Dynamical Systems

Scientific paper

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This paper has been significantly expanded and extended in the paper "Stochastic-like behaviour in nonuniformly expanding maps

Scientific paper

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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