12 citations · 23 across the 6 of their papers we have counts for
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math.PR2016★ 12 cited
Hessian formulas and estimates for parabolic Schrödinger operators
Xue-Mei Li
We study the Hessian of the fundamental solution to the parabolic problem for weighted Schrödinger operators of the form proving a second order Feynman-Kac…
math.PR2016★ 2 cited
On the Semi-Classical Brownian Bridge Measure
Xue-Mei Li
We prove an integration by parts formula for the probability measure induced by the semi-classical Riemmanian Brownian bridge over a manifold with a pole.
math.PR2012★ 9 cited
Effective Diffusions with Intertwined Structures
Xue-Mei Li
Let p:N->M be a surjective map of smooth manifolds. We are concerned with singular perturbation problems associated to a pair of second order positive definite differential operato…