Sébastien Gouëzel

Concentration properties of non-uniformly hyperbolic dynamical systems

Abstract: A Lipschitz function applied to independent random variables is strongly concentrated around its mean. Together with J.-R. Chazottes, we prove that a similar strong quantitative property holds in non-uniformly hyperbolic dynamical systems (how strong depends on how non-uniform the hyperbolicity is). Since this applies to any Lipschitz functions, this has numerous consequences beyond the study of Brikhoff sums.

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