Functional inequalities for Feynman-Kac semigroups

Reference : Functional inequalities for Feynman-Kac semigroups


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/37181

Title :	Functional inequalities for Feynman-Kac semigroups
Language :	English
Author, co-author :	Thompson, James [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date :	2020
Journal title :	Journal of Theoretical Probability
Publisher :	Kluwer Academic Publishers
Peer reviewed :	Yes (verified by ORBi^lu)
ISSN :	0894-9840
e-ISSN :	1572-9230
City :	New York
Country :	Netherlands
Keywords :	[en] Feynman-Kac ; Gradient ; Harnack ; Schrodinger
Abstract :	[en] Using 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.
Funders :	Fonds National de la Recherche - FnR
Permalink :	http://hdl.handle.net/10993/37181
DOI :	10.1007/s10959-019-00915-y

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