- Series
- Job Candidate Talk
- Time
- Wednesday, January 29, 2025 - 11:00am for 1 hour (actually 50 minutes)
- Location
- Skiles 006
- Speaker
- Shalin Parekh – University of Maryland – parekh@umd.edu – https://terpconnect.umd.edu/~parekh/main.html
- Organizer
- Christian Houdré
The KPZ equation is a singular stochastic PDE arising as a scaling limit of various physically and probabilistically interesting models. Often, this equation describes the “crossover” between Gaussian and non-Gaussian fluctuation behavior in simple models of interacting particles, directed polymers, or interface growth. It is a difficult and elusive open problem to elucidate the nature of this crossover for general stochastic interface models. In this talk, I will discuss a series of recent works where we have made progress in understanding the KPZ crossover for models of random walks in dynamical random media. This was done through a tilting-based approach to study the extreme tails of the quenched probability distribution. This talk includes joint work with Sayan Das and Hindy Drillick.
Zoom link:
https://gatech.zoom.us/j/96535844666