Marche al�atoire sur le groupe libre et fronti�re de Martin

DOI10.1007/BF00535840zbMath0364.60117MaRDI QIDQ4139440

Yves Derriennic

Publication date: 1975

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Boundary theory for Markov processes (60J50)

Related Items (26)

The rate of escape for anisotropic random walks in a tree ⋮ The Martin boundary for harmonic functions on groups of automorphisms of a homogeneous tree ⋮ Martin Boundaries of Random Walks: Ends of Trees and Groups ⋮ Unnamed Item ⋮ Convergence to Ends for Random Walks on the Automorphism Group of a Tree ⋮ Poisson boundary of groups acting on \(\mathbb R\)-trees. ⋮ The Martin boundary of a free product of abelian groups ⋮ The Hausdorff dimension of the harmonic measure for relatively hyperbolic groups ⋮ Unnamed Item ⋮ Analyticity of the entropy for some random walks ⋮ Harmonic measures for distributions with finite support on the mapping class group are singular ⋮ Martin boundaries of the duals of free unitary quantum groups ⋮ Harmonic functions on infinite graphs ⋮ Harmonic functions on hyperbolic graphs ⋮ Saddle-point approximations and space-time Martin boundary for nearest- neighbor random walk on a homogeneous tree ⋮ The Dirichlet problem at infinity for random walks on graphs with a strong isoperimetric inequality ⋮ Entropy of groups and subfactors ⋮ Ratio limits and Martin boundary ⋮ Boundaries of random walks on graphs and groups with infinitely many ends ⋮ Random walks on the discrete affine group ⋮ A Converse to the Mean Value Property on Homogeneous Trees ⋮ Fonctions harmoniques positives sur certains groupes de Lie résolubles connexes ⋮ Martin boundaries of random walks on Fuchsian groups ⋮ Local limits and harmonic functions for nonisotropic random walks on free groups ⋮ Probability measures on groups and some related ideals in group algebras ⋮ The Martin boundary for general isotropic random walks in a tree

Cites Work

• Extensions of Jentzsch's Theorem
• Symmetric Random Walks on Groups
• Translation-invariant cones of functions on semi-simple lie groups
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