Functional inequalities for Feynman-Kac semigroups
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🧮 math.FA
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feynman-kacinequalitiessemigroupsanalysisboundcharacterizecurvaturederivative
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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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