[en] We study the parabolic integral kernel associated with the weighted Laplacian and the Feynman-Kac kernels. For manifold with a pole we deduce formulas and estimates for them and for their derivatives, given in terms of a Gaussian term and the semi-classical bridge. Assumptions are on the Riemannian data.
Disciplines :
Mathématiques
Auteur, co-auteur :
Li, Xue-Mei
THOMPSON, James ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit
Co-auteurs externes :
yes
Langue du document :
Anglais
Titre :
First Order Feynman-Kac Formula
Date de publication/diffusion :
2018
Titre du périodique :
Stochastic Processes and Their Applications
ISSN :
0304-4149
Maison d'édition :
Elsevier Science
Peer reviewed :
Peer reviewed
Projet FnR :
FNR7628746 - Geometry Of Random Evolutions, 2014 (01/03/2015-28/02/2018) - Anton Thalmaier
