First Order Feynman-Kac Formula
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🧮 math.PR
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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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