Magnetic Energies and Feynman–Kac–Itô Formulas for Symmetric Markov Processes

DOI10.1080/07362994.2015.1077715zbMath1329.60266arXiv1409.7743OpenAlexW2963222979MaRDI QIDQ3459226

Michael Hinz

Publication date: 21 December 2015

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.7743

zbMATH Keywords

additive functionalsDirichlet formsmagnetic Schrödinger operatorssymmetric Markov processesFeynman-Kac-Itō formula

Mathematics Subject Classification ID

Related Items (12)

Feynman-Kac formulas for Dirichlet-Pauli-Fierz operators with singular coefficients ⋮ Fractal snowflake domain diffusion with boundary and interior drifts ⋮ Magnetic Laplacians of locally exact forms on the Sierpinski gasket ⋮ The divergence theorem and nonlocal counterparts ⋮ Nonlocal Bounded Variations with Applications ⋮ Spectral decimation of the magnetic Laplacian on the Sierpinski gasket: solving the Hofstadter-Sierpinski butterfly ⋮ A Feynman–Kac formula for magnetic monopoles ⋮ Fractional div-curl quantities and applications to nonlocal geometric equations ⋮ Finite Energy Coordinates and Vector Analysis on Fractals ⋮ Gaps in the spectrum of the Laplacian on \(3N\)-gaskets ⋮ Approximation of partial differential equations on compact resistance spaces ⋮ On the viscous Burgers equation on metric graphs and fractals

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