P. Malliavin, “Stochastic Calculus of Variations and Hypoelliptic Operators,” In: K. It?, Ed., Stochastic Analysis, Kinokuniya, Tokyo, 1978, pp. 195-263.
has been cited by the following article:
TITLE: Estimate of an Hypoelliptic Heat-Kernel outside the Cut-Locus in Semi-Group Theory
AUTHORS: Rémi Léandre
KEYWORDS: Subriemannian Geometry; Heat-Kernels
JOURNAL NAME: Applied Mathematics, Vol.3 No.12A, December 31, 2012
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.