A characterization of harmonic measure and Markov processes whose hitting distributions are preserved by rotations, translations and dilatations

DOI10.5802/aif.901zbMath0489.60078OpenAlexW2333920285MaRDI QIDQ1166840

Bernt Øksendal, Daniel W. Stroock

Publication date: 1982

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1982__32_4_221_0

zbMATH Keywords

harmonic functionsspherical sweepings of measures

Mathematics Subject Classification ID

Brownian motion (60J65) Probabilistic potential theory (60J45)

Related Items (3)

Stochastic harmonic morphisms: Functions mapping the paths of one diffusion into the paths of another ⋮ A characterization of \(h\)-Brownian motion by its exit distributions ⋮ A characterization of Brownian motion in a Lipschitz domain by its killing distributions

Cites Work

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• Linear algebraic groups in infinite dimensions
• Brownian motions and generalized analytic and inner functions
• A zero-one law for a class of random walks and a converse to Gauss' mean value theorem
• A supplement to `Markov processes with identical hitting distributions'
• A Converse to the Mean Value Theorem for Harmonic Functions
• Harmonic Functions and Mass Cancellation
• Converses of Gauss' Theorem on the Arithmetic Mean
• Functions Possessing Restricted Mean Value Properties
• Markov processes with identical hitting distributions

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