A Poincar\'e cone condition in the Poincar\'e group
Probability
2013-01-23 v2
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.
Cite
@article{arxiv.1201.4575,
title = {A Poincar\'e cone condition in the Poincar\'e group},
author = {Camille Tardif},
journal= {arXiv preprint arXiv:1201.4575},
year = {2013}
}