The Martin boundary for harmonic functions on groups of automorphisms of a homogeneous tree

DOI10.1007/BF01470065zbMath0824.60078OpenAlexW2079170720MaRDI QIDQ1895157

Wolfgang Woess

Publication date: 31 October 1995

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178694

zbMATH Keywords

Martin boundaryharmonic functionsrandom walkHaar measureArchimedean local fieldautomorphism group of a homogeneous tree

Mathematics Subject Classification ID

Martin boundary theory (31C35) Boundary theory for Markov processes (60J50) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (1)

Renewal theory on the affine group of an oriented tree

Cites Work

• Markoff chains and Martin boundaries
• Amenability, unimodularity, and the spectral radius of random walks on infinite graphs
• Random walks on the affine group of local fields and of homogeneous trees
• Martin and End Compactifications for Nonlocally Finite Graphs
• Extensions of Jentzsch's Theorem
• [https://portal.mardi4nfdi.de/wiki/Publication:4139440 Marche al�atoire sur le groupe libre et fronti�re de Martin]
• Random Walks on Infinite Graphs and Groups - a Survey on Selected topics
• Martin Boundaries of Random Walks: Ends of Trees and Groups
• The Martin Boundary for Random Walk
• Minimal Positive Harmonic Functions
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