Functional inequalities for Feynman-Kac semigroups
Functional Analysis
2019-04-16 v2
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.
Cite
@article{arxiv.1811.03471,
title = {Functional inequalities for Feynman-Kac semigroups},
author = {James Thompson},
journal= {arXiv preprint arXiv:1811.03471},
year = {2019}
}