Abstract: I will talk about a singular non-linear stochastic PDE that was introduced by van Beijeren, Kutner and Spohn (1985) as a continuum version of d-dimensional ASEP (the "Asymmetric Simple Exclusion Process"). 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\ge 3 (this mirrors analogous results by Landim, Olla, Yau et al for ASEP) and also in dimension d=2 (in the so-called weak coupling limit, which corresponds to a certain 2-dimensional weakly asymmetric simple exclusion orocess (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 and M. Gubinelli
An SPDE version of (W)ASEP in dimension d\ge2
01.03.2023 16:45 - 18:00
Organiser:
M. Beiglböck, N. Berestycki, L. Erdös, J. Maas, F. Toninelli, E. Schertzer
Location:
TU Wien, Sahulka Hörsaal EI 3 (Gußhausstraße 25-29)