581 articles – 596 references  [version française]
HAL: hal-00661960, version 1

Detailed view  Export this paper
Available versions:
A Poincaré cone condition in the Poincaré group
Camille Tardif 1
(2012-01-10)

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.
1:  Institut de Recherche Mathématique Avancée (IRMA)
CNRS : UMR7501 – Université de Strasbourg
Mathematics/Probability
Green function – hypoelliptic operator – relativistic diffusion – Wiener criterion – fine topology
Attached file list to this document: 
PDF
articleTardif.pdf(231.8 KB)
PS
articleTardif.ps(854.8 KB)