A Poincaré cone condition in the Poincaré group

Mathematics – Probability

Scientific paper

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Scientific paper

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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