Abstract:
The Kardar-Parisi-Zhang (KPZ) equation is a stochastic non-linear PDE, introduced in physics to model the fluctuations of rough interfaces arising in various contexts: growth of bacteria colonies, propagation of fire, deposition of material, etc. We will explain how to compute exactly the distribution of the solution of the KPZ equation on the half-line R_+ or the whole line R, through an exactly solvable statistical mechanics model called the stochastic six-vertex model.
Biography:
Guillaume Barraquand is a tenured junior researcher at the Centre National de la Recherche Scientifique (CNRS), based at Ecole Normale supérieure in Paris, in the Laboratoire de Physique théorique. His main research areas are probability theory and mathematical physics. He works in particular on integrable stochastic models that have found a number of applications in probability such as random walks in random media, interacting particle systems or stochastic partial differential equations.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai