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arXiv · 1811.03471

Functional inequalities for Feynman-Kac semigroups

James Thompson
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Abstract

Using the tools of stochastic analysis, we prove various gradient estimates and Harnack inequalities for Feynman-Kac semigroups with possibly unbounded potentials. One of the main results is a derivative formula which can be used to characterize a lower bound on Ricci curvature using a potential.

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James Thompson. 2018-11-08. Functional inequalities for Feynman-Kac semigroups. https://arxiv.org/abs/1811.03471

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