Martin boundaries of random walks on Fuchsian groups

DOI10.1007/BF02760973zbMath0517.60077MaRDI QIDQ1053365

Caroline Series

Publication date: 1983

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Martin boundaryharmonic measureGibbs measure

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Boundary theory for Markov processes (60J50)

Related Items

Martin Boundaries of Random Walks: Ends of Trees and Groups, Local limit theorem for symmetric random walks in Gromov-hyperbolic groups, Random walks on Teichmüller space and the mapping class group, Stability phenomena for Martin boundaries of relatively hyperbolic groups, Poisson boundary of groups acting on \(\mathbb R\)-trees., The ratio set of the harmonic measure of a random walk on a hyperbolic group, Harmonic functions on infinite graphs, The Dirichlet problem at infinity for random walks on graphs with a strong isoperimetric inequality, A pointwise ergodic theorem for Fuchsian groups, The Sierpiński gasket as the Martin boundary of a non-isotropic Markov chain, Fonctions harmoniques positives sur certains groupes de Lie résolubles connexes, The conformal measures of a normal subgroup of a cocompact Fuchsian group, Poisson boundaries of discrete groups of matrices

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• [https://portal.mardi4nfdi.de/wiki/Publication:4139440 Marche al�atoire sur le groupe libre et fronti�re de Martin]
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