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Typical behaviour of extremes of chaotic dynamical systems for general observables

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If you have a question about this talk, please contact Mustapha Amrani.

Mathematics for the Fluid Earth

In this talk we discuss the distribution of extreme events for a chaotic dynamical system for a general class of observables. More precisely, we link directly the distribution of events over threshold to the local geometrical structure on the surface of the attractor. It is shown how this can provide us with information about the local stable and unstable dimensions. Using Ruelle’s response theory, we discuss the sensitivity of the parameters of the distribution under perturbations. This is a joint work with Vlaerio Lucarini, Davide Faranda and Jeroen Wouters.

This talk is part of the Isaac Newton Institute Seminar Series series.

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