Zusammenfassung für den Vortrag am 20.01.2015 (16:45 Uhr)

Oberseminar ANALYSIS - PROBABILITY

Lorenzo Zambotti (Université Pierre et Marie Curie, Laboratoire de Probabilités et Modèles Aléatoires, France)
The generalized KPZ equation via regularity structures

In this talk we discuss a class of stochastic PDEs which generalizes the famous KPZ equation. These equations must be renormalized in order to compensate several ill-defined products of random Schwartz distributions. We use the tools provided by the recent theory of regularity structures, with a particular focus on recursive procedures. (Joint project with Yvain Bruned and Martin Hairer)