\(L^p\)-independence of spectral bounds of generalized non-local Feynman-Kac semigroups

DOI10.1016/j.jfa.2012.02.011zbMath1263.47053arXiv1105.3296OpenAlexW2962704971MaRDI QIDQ418715

Zhen-Qing Chen

Publication date: 30 May 2012

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.3296

zbMATH Keywords

quadratic formspectral boundFeynman-Kac transformGirsanov transform

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Dirichlet forms (31C25) Probabilistic potential theory (60J45) Local time and additive functionals (60J55) Schrödinger and Feynman-Kac semigroups (47D08) Multiplicative functionals and Markov processes (60J57)

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Criticality for Schrödinger type operators based on recurrent symmetric stable processes ⋮ Large deviation principles for generalized Feynman-Kac functionals and its applications ⋮ Heat flow on 1-forms under lower Ricci bounds. Functional inequalities, spectral theory, and heat kernel ⋮ \(L^p\)-independence of spectral radius for generalized Feynman-Kac semigroups ⋮ On quasi-stationaries for symmetric Markov processes ⋮ On the \(l^p\) spectrum of Laplacians on graphs ⋮ Semi-classical asymptotics for scattering length of symmetric stable processes ⋮ Feynman--Kac Transform for Anomalous Processes ⋮ Large deviation for additive functionals of symmetric Markov processes ⋮ A tightness property of a symmetric Markov process and the uniform large deviation principle

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