Renewal theory on the affine group of an oriented tree

DOI10.1007/s10959-004-0577-yzbMath1065.60123OpenAlexW2052118786MaRDI QIDQ1770894

Sara Brofferio

Publication date: 7 April 2005

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10959-004-0577-y

zbMATH Keywords

treerenewal theoryrandom walkaffine group\(p\)-adic rationals

Mathematics Subject Classification ID

Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Renewal theory (60K05)

Related Items (5)

Random walks on the affine group of a homogeneous tree in the drift-free case ⋮ Horocyclic products of trees ⋮ Positive harmonic functions for semi-isotropic random walks on trees, lamplighter groups, and DL-graphs ⋮ Regular sequences and random walks in affine buildings ⋮ Random walks on the discrete affine group

Cites Work

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• How a centred random walk on the affine group goes to infinity
• The Martin boundary for harmonic functions on groups of automorphisms of a homogeneous tree
• Potential theory of random wlaks on Abelian groups
• Conservative Markov processes on a topological space
• Croissance polynomiale et périodes des fonctions harmoniques
• Comportement asymptotique du noyau potentiel sur les groupes de Lie

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