First Order Feynman-Kac Formula
نویسندگان
چکیده
We study the parabolic integral kernel associated with the weighted Laplacian with a potential. For manifold with a pole we deduce formulas and estimates for the derivatives of the Feynman-Kac kernels and their logarithms, these are in terms of a ‘Gaussian’ term and the semi-classical bridge. Assumptions are on the Riemannian data. AMS Mathematics Subject Classification : 60Gxx, 60Hxx, 58J65, 58J70 key words: pole, semi-classical bridge, fundamental solution, Feynman-Kac formula
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تاریخ انتشار 2016