Random walks on Baumslag-Solitar groups

DOI10.1007/s11856-018-1775-0zbMath1422.60011arXiv1510.00833OpenAlexW2963034145MaRDI QIDQ1618132

Ecaterina Sava-Huss, Johannes Cuno

Publication date: 13 November 2018

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

Full work available at URL: https://arxiv.org/abs/1510.00833

zbMATH Keywords

random walksBaumslag-Solitar groupsspace of endsBass-Serre treePoisson-Furstenberg boundary

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (3)

Asymptotic Word Length of Random Walks on HNN Extensions ⋮ Boundaries of dense subgroups of totally disconnected groups ⋮ Brownian motion on treebolic space: positive harmonic functions

Cites Work

• Algebra VII. Combinatorial group theory. Applications to geometry. Transl. from the Russian
• Boundaries and harmonic functions for random walks with random transition probabilities
• Boundaries of random walks on graphs and groups with infinitely many ends
• Random walks on discrete groups: Boundary and entropy
• Amenability and Kunze-Stein property for groups acting on a tree
• Ergodic and mixing random walks on locally compact groups
• Topological groups and infinite graphs
• Random walks on the affine group of local fields and of homogeneous trees
• Boundary and entropy of space homogeneous Markov chains
• How a centred random walk on the affine group goes to infinity
• A note on the Poisson boundary of lamplighter random walks
• The Poisson boundary of random rational affinities
• A Poisson formula for semi-simple Lie groups
• Boundary behavior for groups of subexponential growth.
• On Transient Markov Processes with a Countable Number of States and Stationary Transition Probabilities
• Some two-generator one-relator non-Hopfian groups
• Convergence to Ends for Random Walks on the Automorphism Group of a Tree
• Comportement asymptotique du noyau potentiel sur les groupes de Lie
• Boundaries of Zn-Free Groups
• Measure Theory
• The word problem
• The Poisson formula for groups with hyperbolic properties
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Random walks on Baumslag-Solitar groups