2018/11/08 by Thompson, James
#FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.1811.03471
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.