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Extreme value theory for randomly perturbed systems: getting the local dimensions

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Mathematics for the Fluid Earth

We present some new results for extreme values distributions in dynamical systems perturbed “via” random transformations and with observational noise. In both cases the linear scaling parameters of the Gumbel law will allow to get informations on the local behavior respectively of the stationary measure (random transformations), and of the invariant measure (observational noise). This collects work done with Aytac, Faranda, Freitas, Lucarini and Turchetti.

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

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