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CRM-ISM Probability Seminar

Title: Stationary solutions for stochastic Burgers equation and infinite-volume polymer measures

Abstract: In this talk we will discuss ergodic properties of the 1D viscous Burgers equation driven by a space-time homogeneous noise. We will construct and classify all its stationary solutions, and prove a One鈥擣orce鈥擮ne鈥擲olution principle for the equation. The inviscid limit of these stationary solutions is also studied. Via the Feynman鈥擪ac formula, these solutions are closely related to the infinite-volume limits of a directed polymer model. Some open problems and the relation to the KPZ universality will be discussed at the end. This is joint work with Yuri Bakhtin (NYU).

Link:

Meeting ID: 875 9669 4672

Passcode: problab

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