Regular and Stochastic Behaviour in Dynamical Systems

Compound Poisson statistics for dynamical systems via spectral perturbation

speaker: Sandro Vaienti (University of Toulon and Centre de Physique Théorique Marseille)

abstract: We consider quasi-compact linear operator cocycles and their small perturbations. We develop a spectral approach for a quenched compound Poisson statistics that considers random dynamics and random observations. We prove that the random variable which counts the number of visits to random holes follows a compound Poisson distribution. Joint with J Atnip, G Froyand and C Gonzalez-Tokman.

timetable:
Fri 9 Jun, 10:30 - 11:30, Aula Dini
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