Substochastic transition operators on trees and their associated Poisson integrals

DOI10.4064/CM-59-2-279-296zbMath0806.60053OpenAlexW982621728MaRDI QIDQ5966557

Mitchell H. Taibleson, Massimo A. Picardello

Publication date: 25 June 1992

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm-59-2-279-296

zbMATH Keywords

harmonic functionsPoisson representationfinitely additive measuresboundary integral representationsubstochastic operatorsnearest neighbor transition operator

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Integral representations, integral operators, integral equations methods in two dimensions (31A10)

Related Items (3)

Some aspects of the classical potential theory on trees ⋮ On harmonic functions on trees ⋮ Unnamed Item

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