A large deviation principle for symmetric Markov processes with Feynman-Kac functional

DOI10.1007/s10959-010-0324-5zbMath1237.60065OpenAlexW2043431672MaRDI QIDQ662868

Masayoshi Takeda

Publication date: 13 February 2012

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10959-010-0324-5

zbMATH Keywords

large deviationspectral boundDirichlet formFeynman-Kac semigroup

Mathematics Subject Classification ID

Probabilistic potential theory (60J45) Large deviations (60F10) Schrödinger operator, Schrödinger equation (35J10) Right processes (60J40)

Related Items (14)

Criticality for Schrödinger type operators based on recurrent symmetric stable processes ⋮ Large deviation principles for generalized Feynman-Kac functionals and its applications ⋮ A large deviation principle for symmetric Markov processes normalized by Feynman-Kac functionals ⋮ \(L^p\)-independence of spectral radius for generalized Feynman-Kac semigroups ⋮ \(L^p\)-independence of spectral bounds of generalized non-local Feynman-Kac semigroups ⋮ Large deviation principle for the intersection measure of Brownian motions on unbounded domains ⋮ Stochastics and dynamics of fractals ⋮ On a construction of harmonic function for recurrent relativistic \(\alpha\)-stable processes ⋮ A variational formula for Dirichlet forms and existence of ground states ⋮ Large deviations for continuous additive functionals of symmetric Markov processes ⋮ Noncommutative Boundaries Arising in Dynamics and Representations of the Cuntz Relations ⋮ Compactness of symmetric Markov semigroups and boundedness of eigenfunctions ⋮ Realizations and factorizations of positive definite kernels ⋮ A tightness property of a symmetric Markov process and the uniform large deviation principle

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