5 citations · 12 across the 10 of their papers we have counts for
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math.DG2016
Derivatives of Feynman-Kac Semigroups
James Thompson
We prove Bismut-type formulae for the first and second derivatives of a Feynman-Kac semigroup on a complete Riemannian manifold. We derive local estimates and give bounds on the lo…
math.PR2016★ 5 cited
First Order Feynman-Kac Formula
Xue-Mei Li, James Thompson
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 fo…
math.PR2016
Brownian bridges to submanifolds
James Thompson
We introduce and study Brownian bridges to submanifolds. Our method involves proving a general formula for the integral over a submanifold of the minimal heat kernel on a complete…