Ergodic-type limit theorem for fundamental solutions of critical Schrödinger operators

DOI10.1007/s10959-017-0793-xzbMath1442.60077OpenAlexW2766533555MaRDI QIDQ1721922

Masaki Wada

Publication date: 13 February 2019

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

Full work available at URL: https://doi.org/10.1007/s10959-017-0793-x

zbMATH Keywords

criticalityheat kernelDirichlet formFeynman-Kac functionalsymmetric stable processSchrödinger form

Mathematics Subject Classification ID

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

Related Items (1)

Asymptotic behavior of the fundamental solutions for critical Schrödinger forms

Cites Work

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• Dirichlet forms and symmetric Markov processes.
• Feynman-Kac penalization problem for critical measures of symmetric \(\alpha \)-stable processes
• Two-sided estimates on the density of the Feynman-Kac semigroups of stable-like processes
• Large time behavior of the heat kernel and the behavior of the Green function near criticality for nonsymmetric elliptic operators
• Perturbation of Dirichlet forms and stability of fundamental solutions
• Asymptotic expansion of resolvent kernels and behavior of spectral functions for symmetric stable processes
• Heat kernel estimates for stable-like processes on \(d\)-sets.
• Large time asymptotics of Feynman-Kac functionals for symmetric stable processes
• Gaussian bounds of heat kernels for Schrödinger operators on Riemannian manifolds
• Differentiability of spectral functions for symmetric $\alpha$-stable processes
• Gaugeability for Feynman-Kac functionals with applications to symmetric 𝛼-stable processes

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