Tails of the KPZ equation
Seminar | December 5 | 3-4 p.m. | 1011 Evans Hall
Promit Ghosal, Columbia University
The KPZ equation is a fundamental stochastic PDE related to modeling random growth processes, Burgers turbulence, interacting particle system, random polymers etc. In this talk, we focus on the tail probabilities of the solution of the KPZ equation. For instance, we investigate the probability of the solution being smaller or larger than the expected value. Our analysis is based on an exact identity between the KPZ equation and the Airy point process (which arises at the edge of the spectrum of the random Hermitian matrices) and the Brownian Gibbs property of the KPZ line ensemble.
This talk will be based on a joint work with my advisor Prof. Ivan Corwin.