Le processus dʹOrnstein–Uhlenbeck sur lʹespace des chemins riemanniens et le problème des martingales

Résumé cuss the Ornstein–Uhlenbeck process over a compact Riemannian manifold in the framework of a martingale problem. We obtain a solution to this problem as the limit of approximate finite dimensional processes. To this end, we prove a Kolmogorov-type estimate by making use of an expression of the Ornstein–Uhlenbeck operator.