Extreme value distributions of observation recurrences

19 Aug 2020 · Caby Théophile, Faranda Davide, Vaienti Sandro, Yiou Pascal ·

We study analytically and numerically the extreme value distribution of observables defined along the temporal evolution of a dynamical system. The convergence to the Gumbel law of observable recurrences gives information on the fractal structure of the image of the invariant measure by the observable. We provide illustrations on idealized and physical systems.