Decay of correlations for nonuniformly expanding systems

Details Decay of correlations for nonuniformly expanding systems Decay of correlations for nonuniformly expanding systems

2004-01-15

arxiv.org/abs/math/0401184v3

Mathematics

Dynamical Systems

26 pages

Scientific paper

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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