Ismael Bailleul's home page

Office:
Bat. 22, office 302Phone:
(+33) 02 23 23 63 69Email:
ismael.bailleul at univrennes1.fr 
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 YangMills theory, I have also started looking at some problems on singular stochastic PDEs.
(Click here for a brief CV .)
KEYWORDS:
 Stochastic differental geometry, coupling method, Lorentzian geometry
 SubRiemannian 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