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arXiv · 1608.03856

First Order Feynman-Kac Formula

Xue-Mei Li·James Thompson
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Abstract

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.

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Xue-Mei Li, James Thompson. 2016-08-12. First Order Feynman-Kac Formula. https://arxiv.org/abs/1608.03856

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