Date/heure
2 avril 2020
10:45 - 11:45
Oratrice ou orateur
Tobias Hurth
Catégorie d'évènement Séminaire Probabilités et Statistique
Résumé
In spatial dimension > 2, we consider the uniqueness problem for global solutions to the stochastic heat equation, discrete in space and continuous in time, with a small Gaussian noise. A similar problem in the continuous-space setting has been studied by Yuri Kifer. We will describe and motivate the following result: Up to a time-dependent random normalization, the global solution is unique in the class of positive functions of subexponential growth and decay in space. The talk is based on a project with Kostya Khanin and Beatriz Navarro Lameda.