A Poincar\'e cone condition in the Poincar\'e group
Abstract
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 Poincar\'e cone condition of thinness for a relativistic diffusion in the Poincar\'e group introduced by Dudley.
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