On general perturbations of symmetric Markov processes

DOI10.1016/j.matpur.2009.05.012zbMath1176.60070OpenAlexW2082823253MaRDI QIDQ734316

Zhen-Qing Chen, Patrick J. Fitzsimmons, Tu-Sheng Zhang, Kazuhiro Kuwae

Publication date: 20 October 2009

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2009.05.012

zbMATH Keywords

perturbationDirichlet formtime reversalsymmetric Markov process

Mathematics Subject Classification ID

Dirichlet forms (31C25) Probabilistic potential theory (60J45) Local time and additive functionals (60J55) Multiplicative functionals and Markov processes (60J57)

Related Items (12)

Tamed spaces -- Dirichlet spaces with distribution-valued Ricci bounds ⋮ Large deviation principles for generalized Feynman-Kac functionals and its applications ⋮ \(L^p\)-independence of spectral radius for generalized Feynman-Kac semigroups ⋮ \(L^p\)-independence of spectral bounds of generalized non-local Feynman-Kac semigroups ⋮ Errata for stochastic calculus for symmetric Markov processes ⋮ Analytic characterizations of gaugeability for generalized Feynman-Kac functionals ⋮ General analytic characterization of gaugeability for Feynman-Kac functionals ⋮ Errata: Stochastic calculus over symmetric Markov processes without time reversal ⋮ \(L^p\)-independence of spectral bounds of Feynman-Kac semigroups by continuous additive functionals ⋮ On the generalized Feynman-Kac transformation for nearly symmetric Markov processes ⋮ Stochastic calculus over symmetric Markov processes with time reversal ⋮ Stability of Dirichlet heat kernel estimates for non-local operators under Feynman-Kac perturbation

Cites Work

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• On doubly Feller property
• Kato class measures of symmetric Markov processes under heat kernel estimates
• A probabilistic principle and generalized Schrödinger perturbation
• Introduction to the theory of (non-symmetric) Dirichlet forms
• Non-symmetric perturbations of symmetric Dirichlet forms.
• Additive functionals, nowhere Radon and Kato class smooth measures associated with Dirichlet forms
• Stochastic calculus for symmetric Markov processes
• Perturbation of symmetric Markov processes
• Stochastic calculus for continuous additive functionals of zero energy
• Brownian motion and harnack inequality for Schrödinger operators
• Quasi-homeomorphisms of Dirichlet forms
• ON GIRSANOV AND GENERALIZED FEYNMAN–KAC TRANSFORMATIONS FOR SYMMETRIC MARKOV PROCESSES

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