Groupe de travail de l'équipe “Probabilités & Statistiques” de l'Institut Élie Cartan (Nancy)
13 & 20 juin 2013 : Carl Mueller (Rochester)
Stochastic PDE's & Particle systems

Many stochastic PDE's (SPDE) have solutions which can be viewed as densities of branching particle systems. One of the first such SPDE's to be studied was the superprocess or Dawson–Watanabe process. This viewpoint provides many important tools for studying such SPDE's. Although the superprocess has been intensively studied, the same methods have recently proved successful for studying uniqueness questions and the behavior of SPDE's which have random traveling wave solutions.