Convergence of martingales on manifolds of negative curvature
Convergence of stochastic flows with jumps and Levy processes in diffeomorphisms group
Convexity at infinity and Brownian motion on manifolds with unbounded negative curvature.
Correction : “On two transfer principles in stochastic differential geometry”
Critical diffusions
Démonstration probabiliste du théorème de d'Alembert
Diffeomorphisms of the circle and the based stochastic loop space
Diffusion on the total space of a vector bundle.
Elliptic diffusions on infinite products.
En marge de l'exposé de Meyer : « Géométrie différentielle stochastique »
Équation différentielle stochastique (EDS) sur et sur
Ergodicity for a stochastic geodesic equation in the tangent bundle of the 2D sphere
We study ergodic properties of stochastic geometric wave equations on a particular model with the target being the 2D sphere while considering only solutions which are independent of the space variable. This simplification leads to a degenerate stochastic equation in the tangent bundle of the 2D sphere. Studying this equation, we prove existence and non-uniqueness of invariant probability measures for the original problem and obtain also results on attractivity towards an invariant measure. We also...
Erratum : «Approximation par la diffusion et automorphismes hyperboliques du tore»
Fast oscillating random perturbations of dynamical systems with conservation laws
Flots browniens isotropes sur la sphère
Fonctions convexes et semimartingales dans une variété
Formules de Lefschetz délocalisées
Fredholm determinant of an integral operator driven by a diffusion process.
Front propagation for nonlinear diffusion equations on the hyperbolic space
We study the Cauchy problem in the hyperbolic space for the semilinear heat equation with forcing term, which is either of KPP type or of Allen-Cahn type. Propagation and extinction of solutions, asymptotical speed of propagation and asymptotical symmetry of solutions are addressed. With respect to the corresponding problem in the Euclidean space new phenomena arise, which depend on the properties of the diffusion process in . We also investigate a family of travelling wave solutions, named...
Géométrie différentielle du 2ème ordre, semi-martingales et équations différentielles stochastiques sur une variété différentielle