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Estimate of an Hypoelliptic Heat-Kernel outside the Cut-Locus in Semi-Group Theory
Laboratoire de Mathematiques, Université de Franche-Comté, Besan?on, France
- 1 Laboratoire de Mathematiques, Université de Franche-Comté, Besan?on, France
Applied Mathematics·Volume 03 (2012)·Pages 2063–2070·Published 28 December 2012·DOI10.4236/am.2012.312A285
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Abstract
We give a proof in semi-group theory based on the Malliavin Calculus of Bismut type in semi-group theory and Wentzel-Freidlin estimates in semi-group of our result giving an expansion of an hypoelliptic heat-kernel outside the cut-locus where Bismut’s non-degeneray condition plays a preominent role.
KeywordsSubriemannian GeometryHeat-Kernels
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