Ismael Bailleul's home page
Office:Bat. 22, office 302
Phone:(+33) 02 23 23 63 69
Email:ismael.bailleul at univ-rennes1.fr
Address:Institut de recherche mathematiques de Rennes
263 Avenue du General Leclerc
Welcome to my webpage! I am currently assistant professor (maitre de conference), in Universite Rennes 1, France. My main reserch area is at the intersection of probability, geometry and mathematical physics, with a particular interest on some diffusions intrinsically associated with any relativistic spacetime, called relativistic diffusions. I am also interested in Smoluchowski coagulation equation (homogeneous or not), which describes the macroscopic evolution of some interacting particle system.
I have recently developped a personal approach of rough paths which offers numerous perspectives, to the study of stochastic flows of maps in particular. Motivated by some questions about Yang-Mills theory, I have also started looking at some problems on singular stochastic PDEs.
(Click here for a brief CV .)
- Stochastic differental geometry, coupling method, Lorentzian geometry
- Sub-Riemannian geometry, Malliavin calculus
- Particle systems, coupling method, nonlinear Markov processes
- Rough paths, mean field stochastic rough differential equations, rough dynamics on paths space, rough flows
- Singular PDEs, paracontrolled calculus