Título: Quantitative results in Poincaré recurrence for mixing processes
Palestrante: Alexsandro Gallo (UFSCar)
Local: Transmissão Online
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Resumo: A very classical question in stochastic processes is to quantify the time it takes to first enter a given set, or the number of visits to this set in a fixed time window. The aim of the talk is to present some recent quantitative results concerning first hitting/return times and number of visits to rare sets (small/vanishing measure) in mixing processes. We will focus on asymptotic results (essentially convergence in distribution and large deviations). Most of the presentation will be about the classical case where the sets of interest are strings of symbols of increasing size. At the end, if time allows, we will give some glimpses of the case in which we target general sets having vanishing measure.
All the talks are held in English.
More complete information about the seminars will be available at HERE.