PATH INTEGRAL FORMULAS FOR HEAT KERNELS AND THEIR DERIVATIVES
成果类型：
Article
署名作者：
NORRIS, JR
刊物名称：
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN：
0178-8051
DOI：
10.1007/BF01192562
发表日期：
1993
页码：
525-541
关键词：
摘要：
The heat kernel and its derivatives of a vector Laplacian on the sections of a bundle over a compact Riemannian manifold are expressed as products of the scalar heat kernel of the manifold and path integrals over the Brownian bridge. The small-time asymptotics of these integrals are computed.
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