A Poincaré cone condition in the Poincaré group

Camille Tardif (1)

1 IRMA - Institut de Recherche Mathématique Avancée

Gradinaru and Ben Arous described the behavior of the Green function of a sub-elliptic diffusion. We adapt their proof in the general setting of an hypoelliptic diffusion and deduce a Wiener criterion and a Poincaré cone condition of thinness for a relativistic diffusion in the Poincaré group introduced by Dudley.

Mots clés: Green function; hypoelliptic operator; relativistic diffusion; Wiener criterion; fine topology

Domaines: Probabilités [math.PR]

Camille Tardif. A Poincaré cone condition in the Poincaré group. 2012. ⟨hal-00661960v1⟩