Séminaire de Probabilités

Estimations of kernels of Dunkl processes and Dyson Brownian motions

par Piotr Graczyk (LAREMA Université d'Angers)

→ Europe/Paris
Salle F. Pellos (1R2-207)

Salle F. Pellos (1R2-207)

Description

I will present an overview of the results and methods on the estimation  of Poisson, Newton and transition(heat) kernels for Dyson Brownian Motions and the  stochastic diffusion processes of Dunkl and Opdam-Cherednik. From an analytical perspective, this research falls within the analysis related to Dunkl and Opdam-Cherednik operators on $R^n$ equipped with a root system. Most of these results were obtained in collaboration with Patrice Sawyer (Sudbury).