Large deviations for continuous additive functionals of symmetric Markov processes

DOI10.2748/tmj/1546570828zbMath1421.31018OpenAlexW2908328255WikidataQ128636560 ScholiaQ128636560MaRDI QIDQ1732302

Seunghwan Yang

Publication date: 22 March 2019

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmj/1546570828

zbMATH Keywords

large deviationDirichlet formcontinuous additive functionalsymmetric Markov process

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Dirichlet forms (31C25) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Cites Work

• Dirichlet forms and symmetric Markov processes.
• A large deviation principle for symmetric Markov processes with Feynman-Kac functional
• Large deviation principle for additive functionals of Brownian motion corresponding to Kato measures
• Perturbation of Dirichlet forms by measures
• \(L^p\)-independence of spectral bounds of Schrödinger type semigroups
• Analytic characterizations of gaugeability for generalized Feynman-Kac functionals
• Gaugeability and conditional gaugeability
• Differentiability of spectral functions for symmetric $\alpha$-stable processes
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