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Erdos-Renyi laws for dynamical systems. Nicol, Matthew


Erdos-Renyi laws concern the almost sure behavior of time averages over time windows of varying length in a stationary time series. We discuss recent results on Erdos-Renyi laws for chaotic dynamical systems and their relation to rate of decay of correlations and local large deviations. Some of this work is joint with Nicolai Haydn (University of Southern California), Holger Kantz and Mozhdeh Massah (Max Planck Institute for Complex Systems, Dresden, Germany).

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