Dynamic polymers: invariant measures and ordering by noise

Series
Stochastics Seminar
Time
Thursday, February 17, 2022 - 3:30pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Yuri Bakhtin – Courant Institute, NYU
Organizer
Cheng Mao

Gibbs measures describing directed polymers in random potential are tightly related to the stochastic Burgers/KPZ/heat equations.  One of the basic questions is: do the local interactions of the polymer chain with the random environment and with itself define the macroscopic state uniquely for these models? We establish and explore the connection of this problem with ergodic properties of an infinite-dimensional stochastic gradient flow. Joint work with Hong-Bin Chen and Liying Li.