Jessica Lin (McGill University)

Math & Stats Department Colloquium

Friday, November 3rd, 2023

Time: 2:30 p.m.  Place: Jeffery Hall, Room 234

Speaker: Jessica Lin (McGill University)

Title: Quantitative Homogenization for Nondivergence Form Equations

Abstract: In this talk, I will first give an introduction to stochastic homogenization for nondivergence form elliptic equations (from the PDE perspective) and quenched invariance principles for nonreversible diffusion processes (from the probability perspective). I will then present new quantitative homogenization results for the fundamental solution and the unique ergodic invariant measure. I will discuss the implications of these homogenization results, such as heat kernel bounds on the fundamental solution and quantitative ergodicity for the environmental process. This talk is based on joint work with Scott Armstrong (NYU) and Benjamin Fehrman (LSU).

Bio: Prof. Jessica Lin is an Associate Professor at McGill University and a CRC in Partial Differential Equations and Probability. Before McGill, she received her PhD from the University of Chicago and did a postdoc at the University of Wisconsin–Madison. Her research is broadly focused on the asymptotic behaviour of random physical systems, with an emphasis on stochastic homogenization, limit theorems, and effective phase transitions in various models subject to randomness.