arxiv: 1608.03856 · v2 · pith:Z7DVOVCWnew · submitted 2016-08-12 · 🧮 math.PR

First Order Feynman-Kac Formula

Xue-Mei Li , James Thompson This is my paper

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keywords feynman-kacassociatedassumptionsbridgedatadeducederivativesestimates

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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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First Order Feynman-Kac Formula

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