A Poincaré cone condition in the Poincaré group
Résumé
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.
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