15–19 juin 2026
Institut de Mathématiques de Toulouse
Fuseau horaire Europe/Paris

From McKean Particle Systems to Branching Feynman-Kac representations: adressing Poisson-Vlasov PDEs

16 juin 2026, 15:15
15m
Amphithéâtre Schwartz (Institut de Mathématiques de Toulouse)

Amphithéâtre Schwartz

Institut de Mathématiques de Toulouse

Université Toulouse 3 Paul Sabatier 23 rue sebastienne guyot Institut de Mathématiques- Bâtiment 1R3 Toulouse

Orateur

Daniel Yaacoub (CNRS, LAPLACE (UMR 5213))

Description

Recent advances have made it possible to develop path-space probabilistic representations of mesoscopic Boltzmann transport nonlinearly coupled to a self-consistent submodel of the force field through forward approaches based on continuous branching stochastic processes. In this work, path-space probabilistic representations of free-space Poisson–Vlasov and Poisson–Boltzmann systems are presented. This yields novel propagator representations and opens new avenues for efficient and benchmark simulations through the use of new Branching Backward Monte Carlo (BBMC) algorithms.

Documents de présentation

Aucun document.