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03/04/2024, 17:00 — 18:00 Europe/Lisbon — Instituto Superior Técnicohttps://tecnico.ulisboa.pt
Hindy Drillick, Columbia University

The KPZ equation limit of random walks in random environments

In this talk, we will consider two models for diffusing particles in time-dependent random environments: the discrete random walk in random environment (RWRE) and a continuum scaling limit of the RWRE called sticky Brownian motion. We will present some recent results on the weak convergence of both models to the KPZ equation in the moderate deviation regime. We will also discuss an application to the fluctuations of the maximal particle in these models. This is joint work with Sayan Das and Shalin Parekh.


Except for a few of the oldest sessions these are from the Seminário de Probabilidade e Mecânica Estatística at IMPA which is co-sponsored by several institutions, in particular Instituto Superior Técnico.