BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Michael Högele (Universidad de los Andes) DTSTART:20210511T140000Z DTEND:20210511T150000Z DTSTAMP:20260423T052708Z UID:POSemP/4 DESCRIPTION:Title: C utoff thermalization for Ornstein-Uhlenbeck system swith small Lévy noise in the Wasserstein distance\nby Michael Högele (Universidad de los A ndes) as part of Pisa Online Seminar in Probability\n\n\nAbstract\nThis ta lk presents recent results on cutoff thermalization (also known as the cut off phenomenon) for a general class of asymptotically exponentially stable Ornstein-Uhlenbeck systems under ε-small additive Lévy noise. The drivi ng noise processes include Brownian motion\, α-stable Lévy flights\, fin ite intensity compound Poisson processes and red noises and may be highly degenerate. Window cutoff thermalization is shown under generic mild assum ptions\, that is\, we see an asymptotically sharp ∞/0-collapse of the re normalized Wasserstein distance from the current state to the equilibrium measure μ^ε along a time window centered in a precise ε-dependent time scale t_ε . In many interesting situations such as reversible (Lévy) dif fusions it is possible to prove the existence of an explicit\, universal\, deterministic cutoff thermalization profile. The existence of this limit is characterized by the absence of non-normal growth patterns in terms of an orthogonality condition on a computable family of generalized eigenvect ors of the matrix Q. With this piece of theory at hand this article provid es a complete discussion of the cutoff phenomenon for the classical linear oscillator with friction subject to ε-small Brownian motion or α-stable Lévy flights. Furthermore\, we cover the highly degenerate case of a lin ear chain of oscillators in a generalized heat bath at low temperature.\n LOCATION:https://researchseminars.org/talk/POSemP/4/ END:VEVENT END:VCALENDAR