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

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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.
This paper has been significantly expanded and extended in the paper "Stochastic-like behaviour in nonuniformly expanding maps" math.DS/0409085

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Dynamical Systems, Mathematical Physics, Probability, 37D25, 37A25

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http://salesiana.dossiersoluciones.com/handle/123456789/66367

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0301319
 http://arxiv.org/abs/math/0301319

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arXiv