Hindy Drillick, NYU
Event Date
2026-10-27
Event Time
03:30 pm ~ 04:30 pm
Event Location
Penn (David Rittenhouse Lab 4C8)
In this talk, we will consider random walks in a space-time random environment, which can be thought of as a discrete model for diffusing particles in a time-dependent random medium. We will study the scaling limits of these models in certain moderate-deviation regimes. In earlier work, we showed that in d=1 the critical fluctuations are governed by the KPZ equation. In recent work, we proved that the scaling limit at criticality in d=2 is given by the critical 2d stochastic heat flow. This talk is based on joint works with Sayan Das, Jonathan Hou, and Shalin Parekh.