Convergence to Ends for Random Walks on the Automorphism Group of a Tree
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Publication:4731928
DOI10.2307/2048184zbMath0682.60059OpenAlexW4241944191MaRDI QIDQ4731928
Paolo M. Soardi, Donald I. Cartwright
Publication date: 1989
Full work available at URL: https://doi.org/10.2307/2048184
Trees (05C05) Sums of independent random variables; random walks (60G50) Measures on groups and semigroups, etc. (43A05) Boundary theory for Markov processes (60J50) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)
Related Items
Shannon's theorem for locally compact groups, Random walks on Baumslag-Solitar groups, Random walks on the affine group of local fields and of homogeneous trees, The Poisson boundary of lamplighter random walks on trees, Poisson boundary of groups acting on \(\mathbb R\)-trees., Boundaries of dense subgroups of totally disconnected groups, Limit distributions of branching Markov chains, The Dirichlet problem at infinity for random walks on graphs with a strong isoperimetric inequality, A note on the Poisson boundary of lamplighter random walks, Crossing estimates and convergence of Dirichlet functions along random walk and diffusion paths, Boundaries of random walks on graphs and groups with infinitely many ends, Sublinear deviation between geodesics and sample paths, The Martin boundary for general isotropic random walks in a tree, Fixed sets and free subgroups of groups acting on metric spaces
Cites Work
- The Martin boundary for general isotropic random walks in a tree
- Automorphism groups of graphs as topological groups
- The rate of escape for anisotropic random walks in a tree
- Random walks on discrete groups: Boundary and entropy
- Amenability and Kunze-Stein property for groups acting on a tree
- [https://portal.mardi4nfdi.de/wiki/Publication:4139440 Marche al�atoire sur le groupe libre et fronti�re de Martin]
- Noncommuting Random Products
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