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Math Colloquium
Yu Gu
Stanford University
Title: Heat kernel upper bounds for interacting particle systems

Abstract: We discuss two models of random walk in random environment, one from stochastic homogenization of composite materials, and the other from interacting particle systems. The goal is to explore the quantitative aspects of the invariance principle, i.e., to quantify the convergence of the properly rescaled random walk to the Brownian motion. The idea is to borrow PDE/analytic tools from stochastic homogenization of elliptic operators and to apply them in the context of interacting particle systems. In particular, we will explain the proof of a diffusive heat kernel upper bound on the tagged particle in a symmetric simple exclusion process. Based on joint work with A. Giunti and J.-C. Mourrat.

Date: Monday, November 28, 2016
Time: 5:00 pm
Location: Wean Hall 8220
Submitted by:  Bohman
Note: Refreshments at 4:30 pm, Wean Hall 6220.