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   First Order Feynman-Kac Formula; Thompson, James  in Stochastic Processes and Their Applications (2018) 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 ... [more ▼] 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. [less ▲] Detailed reference viewed: 215 (35 UL)Manifold-valued martingales, changes of probabilities, and smoothness of finely harmonic maps; ; Thalmaier, Anton in Annales de l'Institut Henri Poincare (B) Probability & Statistics (1999), 35(6), 765-791 Detailed reference viewed: 234 (4 UL) |
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