18/01/2023, 16:00 — 17:00 — Online
Fabio Toninelli, Technical University of Vienna
An SPDE version of (W)ASEP in dimension d greated or equal to 2
I will talk about a singular non-linear SPDE that was introduced by van Beijeren, Kutner and Spohn (1985) as a continuum version of d-dimensional ASEP. The equation is "supercritical" ($d>3$) or critical ($d=2$) in the SPDE language. We show that the large-scale behavior of the equation is Gaussian in dimension $d$ greater or equal to $3$ (this mirrors analogous results by Landim, Olla, Yau et al for ASEP) and also in dimension $d=2$ (in the so-called weak noise limit, which corresponds to a certain $2-$dimensional WASEP). The scaling is non-trivial in the sense that the non-linearity has a non-vanishing effect on the limit equation. Ongoing work with G. Cannizzaro, L. Haunschmid and M. Gubinelli.
See also webpage: https://spmes.impa.br
