Probability Seminar

Kevin YangUniversity of California, Berkeley
Universality and well-posedness for a time-inhomogeneous KPZ equation

Monday, March 6, 2023 - 3:45pm
Malott 406

Abstract: This talk has two goals. The first is a derivation of a time-inhomogeneous KPZ equation from fluctuations in a Ginzburg-Landau SDE in nonequilibrium. The method is a fluctuation-scale analog of Yau’s method for hydrodynamic limits in nonequilibrium. The second is a (possibly short) discussion about well-posedness of the limit KPZ equation itself, which has a log-nonlinearity that is absent in the time-homogeneous case. A number of questions in the spirit of nonequilibrium statistical mechanics (e.g. hysteresis in the microscopic model) will also be addressed, as well as further extensions of this project.