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»