Dear all, A reminder that tomorrow (Wednesday), from 15:00 to 17:00 UTC (17:00 to 19:00 Central European Time), Fabio Toninelli (Technical University of Vienna) and Giuseppe Cannizzaro (University of Warwick) will be speaking at the One World Probability Seminar.
Title, abstract and the zoom link are below the signature and can be found on the website https://www.owprobability.org/one-world-probability-seminar. We kindly ask that you share this message within your community.
With best wishes,
Alberto Chiarini (Padua) and Adrián González Casanova (Berkeley and México)
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Talk : Fabio Toninelli (Technical University of Vienna)
Title : Out-of-equilibrium phenomena, stochastic PDEs and Gaussian limits
Abstract : I will report on mathematical progress on certain (non-linear, singular) stochastic PDEs that model effectively the mesoscopic behaviour of some out-of-equilibrium physical systems, most notably stochastic interface growth and driven diffusive systems. Scaling and Renormalization Group arguments suggest that, above the critical dimension d=2, the large-scale behaviour of these equations should be Gaussian. Our results imply, indeed, Gaussian scaling limits in dimension d\ge 3 (for driven diffusive systems) and also, at least in the regime of weak non-linearity, in the critical dimension d=2 (both for driven diffusive systems and for the Anisotropic KPZ equation).
Talk : Giuseppe Cannizzaro (University of Warwick)
Title : Weak coupling scaling of critical SPDEs
Abstract : The study of stochastic PDEs has known tremendous advances in recent years and, thanks to Hairer's theory of regularity structures and Gubinelli and Perkowski's paracontrolled approach, (local) existence and uniqueness of solutions of subcritical SPDEs is by now well-understood. The goal of this talk is to move beyond the aforementioned theories and present novel tools to derive the scaling limit (in the so-called weak coupling scaling) for certain stationary SPDEs at the critical dimension. Our techniques are inspired by the resolvent method developed by Landim, Olla, Yau, Ramirez, and many others, in the context of particle systems in the supercritical dimension and might be well-suited to study a much wider class of statistical mechanics models at criticality.
Zoom-link: https://unipd.zoom.us/j/88344317640?pwd=VE5IdXBLQkJ0dkZHUWlOaVJPajRnUT09 Meeting ID: 883 4431 7640 Passcode: 647663