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SUMMARY:Weak coupling scaling of critical SPDEs - Guiseppe Cannizzaro\, Un
 iversity of Warwick
DTSTART:20231128T140000Z
DTEND:20231128T150000Z
UID:TALK209026@talks.cam.ac.uk
CONTACT:Sourav Sarkar
DESCRIPTION: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. Th
 e goal of this talk is to move beyond the aforementioned theories and pres
 ent novel tools to derive the scaling limit (in the so-called weak couplin
 g scaling) for some stationary SPDEs at the critical dimension. Our techni
 ques 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 possibl
 e to use our techniques to study a much wider class of statistical mechani
 cs models at criticality such as (self-)interacting diffusions in random e
 nvironment.
LOCATION:MR12
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