Si segnala il seguente seminario:
Lunedì 19 Febbraio 2024, ore 16:00, Sala di Consiglio, Dipartimento di
Matematica "Guido Castelnuovo", Sapienza Università di Roma
*Speaker: *Giuseppe Cannizzaro (University of Warwick, UK)
*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 some stationary SPDEs at the *critical* dimension.
Our techniques are inspired by the resolvent method developed by Landim,
Olla, Yau, Varadhan, and many others, in the context of particle systems in
the *supercritical* dimension. Time allowing, we will explain how it is
possible to use our techniques to study a much wider class of statistical
mechanics models at criticality such as (self-)interacting diffusions in
random environment.
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Vittoria Silvestri
Assistant Professor
Department of Mathematics
University "La Sapienza"
Piazzale Aldo Moro, 5
00185 - Rome
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