Ratio limits and Martin boundary

DOI10.25537/dm.2021v26.1501-1528zbMath1482.60104arXiv2104.11477MaRDI QIDQ2237706

Wolfgang Woess

Publication date: 28 October 2021

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.11477

zbMATH Keywords

Martin boundaryrandom walkratio limit\(\rho\)-harmonic functions

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Boundary theory for Markov processes (60J50)

Related Items (1)

Toeplitz quotient \(C^*\)-algebras and ratio limits for random walks

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Martin boundary for general isotropic random walks in a tree
• Denumerable Markov chains. Generating functions, boundary theory, random walks on trees.
• Martin boundary of random walks with unbounded jumps in hyperbolic groups
• Local limits and harmonic functions for nonisotropic random walks on free groups
• Random walks on discrete groups: Boundary and entropy
• On the asymptotic behaviour of convolution powers of probabilities on discrete groups
• Irrfahrten auf \(F_2\)
• Finite range random walk on free groups and homogeneous trees
• Fixed sets and free subgroups of groups acting on metric spaces
• The full Martin boundary of the bi-tree
• The Martin boundary of a free product of abelian groups
• Toeplitz quotient \(C^*\)-algebras and ratio limits for random walks
• On a theorem of Avez
• Phase transitions for random walk asymptotics on free products of groups
• Martin and End Compactifications for Nonlocally Finite Graphs
• Local limit theorem for symmetric random walks in Gromov-hyperbolic groups
• Full Banach Mean Values on Countable groups.
• A Converse to the Mean Value Property on Homogeneous Trees
• Isotropic random walks in a tree
• [https://portal.mardi4nfdi.de/wiki/Publication:4139440 Marche al�atoire sur le groupe libre et fronti�re de Martin]
• Lamplighters, Diestel–Leader Graphs, Random Walks, and Harmonic Functions
• Martin Boundaries of Random Walks: Ends of Trees and Groups
• Random Walk on a Co-Compact Fuchsian Group
• Random Walks on Infinite Graphs and Groups

This page was built for publication: Ratio limits and Martin boundary