# Concentration inequalities for dynamical systems

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Jean-René Chazottes, Centre National de la Recherche Scientifique, École-Polytechnique
Fine Hall 401

Concentration inequalities are a powerful tool to estimate the fluctuations of observables more general than ergodic sums: one can consider any observable $F(x,\ldots,T^n x)$ provided it is separately Lipschitz. Such inequalities can be established for non-uniformly hyperbolic systems and we shall present some applications.