Speaker: Professor Xia Chen,

Title: A quenched spatial law for KPZ and parabolic Anderson equation

Abstract:  The KPZ equation was introduced by the physicists Kardar M., Parisi, G. and Zhang, Y. C. (1986) for modeling of growing interface. Its challenge to  mathmatical community leads to a tsunami in the area of stochastic partial differential equations (SPDE). In this talk, we establish the quenched law for the spatial asymtotics of one-dimensional KPZ equation. Under the Hopt-Cole transform, the problem is reduced to the setting of a linear SPDE known as parabolic Anderson equation.