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T. J. S. Taylor, “Off Diagonal Asymptotics of Hypoelliptic Diffusion Equations and Singular Riemannian Geometry,” Pacific Journal of Mathematics, Vol. 136, No. 2, 1989, pp. 379-394. doi:10.2140/pjm.1989.136.379

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.