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Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.
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The Feynman–Kac formula expresses the integral kernel of the one-parameter semigroup generated by a Laplacian on a smooth manifold as the path integral of the parallel transport map associated to the given connection with respect to all paths of a given length connecting the two given points.
The original reference is
The case of smooth manifolds is treated in
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