Scaling Limits of a Line Model in a Degenerate Environment

Scaling Limits of a Line Model in a Degenerate Environment
Topic
Scaling Limits of a Line Model in a Degenerate Environment
Date & Time
Thursday, February 20, 2025 - 16:00 - 17:00
Speaker
Henri Elad Altman, Université Sorbonne Paris Nord
Location
W923, West Hall, NYU Shanghai New Bund Campus

- RSVP Here -

Abstract: 

I will introduce a bi-dimensional model of Random Walk in Random Environment, called line model. The environment defining the jump rates of the walk is given by degenerate, i.e. heavy-tailed, random variables. I will present a non-explosion result and, in a semi-degenerate regime, scaling limit results. Due to the degeneracy of the environment, the walk behaves super-diffusively, with a non-Gaussian scaling limit that is described using continuous limits of models of Random Walk in Random Scenery. This talk is based on joint work with Jean-Dominique Deuschel (TU Berlin) and Toyomu Matsuda (industry).

Biography: 

Currently maître de conférence (assistant professor) in Probability at Université Sorbonne Paris Nord, my research focuses on the probabilistic properties of solutions of singular stochastic differential equations, as well as on scaling limits of discrete probabilistic models such as random walks in random environment. I defended my PhD in 2019 under the supervision of Lorenzo Zambotti at Sorbonne Université in Paris. Between 2019 and 2021 I was Chapman Fellow in Mathematics at Imperial College London and, from 2021 to 2023, I worked as a Dirichlet Postdoctoral Fellow in Mathematics at Freie Universität Berlin.

Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai

This event is open to the NYU Shanghai community and Math community.