Article citationsMore>>

S. Watanabe, “Analysis of Wiener Functionals (Malliavin Calculus) and Its Applications to Heat Kernels,” Annals of Probability, Vol. 15, No. 1, 1987, pp. 1-39. doi:10.1214/aop/1176992255

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.