Please note that the list below only shows forthcoming events, which may not include regular events that have not yet been entered for the forthcoming term. Please see the past events page for a list of all seminar series that the department has on offer.

 

Past events in this series


Wed, 25 Feb 2026

11:00 - 13:00
L4

A stochastic control approach to Euclidean field theories with exponential interaction

Michael Hofstetter
(University of Vienna)
Abstract
In this talk, I demonstrate how to obtain couplings of the Liouville field and the sinh-Gordon field with the Gaussian free field in dimension $d=2$, such that the difference is in a Sobolev space of regularity $\alpha > 1$. The analysis covers the entire L2 phase. The main tool is the variational approach to Euclidean field theories by Barashkov and Gubinelli applied to field theories with exponential interaction. The additional key ingredients are estimates for the short scales of the minimizer of the variational problem and several applications of the Brascamp-Lieb inequality.


 

Wed, 04 Mar 2026

11:00 - 13:00
L4

Scaling Limits of Line Models in Degenerate Environment

Henri Elad Altman
(Sorbonne Paris North University)
Abstract

I will discuss a 2-dimensional model of random walk in random environment known as line model. The environment is described by two independent families of i.i.d. random variables dictating rates of jumps in vertical, respectively horizontal directions, and whose values are constant along vertical, respect. horizontal lines. When jump rates are heavy-tailed in one of the directions, the random walk becomes superdiffusive in that direction, with an explicit scaling limit written as a two-dimensional Brownian motion time-changed (in one of the components) by a process introduced by Kesten and Spitzer in 1979. I will present ideas of the proof of this result, which relies on appropriate time-change arguments.  In the case of a fully degenerate environment, I will present a sufficient condition for non-explosion of the process (which is also believed to be sharp), as well as conjectures on the associated scaling limit.

This is based on joint work with J.-D. Deuschel (TU Berlin).