The Martin boundary of a free product of abelian groups

DOI10.5802/aif.3314zbMath1442.31007arXiv1709.07738OpenAlexW2758460124MaRDI QIDQ2184856

Matthieu Dussaule

Publication date: 2 June 2020

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.07738

zbMATH Keywords

Martin boundaryharmonic functionrandom walkfree product

Mathematics Subject Classification ID

Martin boundary theory (31C35) Hyperbolic groups and nonpositively curved groups (20F67) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items

Martin boundary of killed random walks on isoradial graphs ⋮ Stability phenomena for Martin boundaries of relatively hyperbolic groups ⋮ Martin boundary covers Floyd boundary ⋮ Ratio limits and Martin boundary ⋮ Entropy and drift for word metrics on relatively hyperbolic groups ⋮ The Martin boundary of relatively hyperbolic groups with virtually abelian parabolic subgroups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Martin boundary for general isotropic random walks in a tree
• Internal diffusion limited aggregation on discrete groups having exponential growth
• Martin boundary of random walks with unbounded jumps in hyperbolic groups
• Martin boundary of a killed random walk on a quadrant
• Asymptotics for some Green kernels on the Heisenberg group and the Martin boundary
• Non-negative matrices and Markov chains. 2nd ed
• Théorie du renouvellement pour des chaînes semi-markoviennes transientes. (Renewal theory for transient semi-Markov chains)
• Random walks on discrete groups of polynomial volume growth
• Hadamard spaces with isolated flats. (With an appendix written jointly with Mohamad Hindawi).
• Martin boundary of a killed random walk on a half-space
• Theorie du Potentiel sur les Graphes et les Varietes
• Extensions of Jentzsch's Theorem
• [https://portal.mardi4nfdi.de/wiki/Publication:4139440 Marche al�atoire sur le groupe libre et fronti�re de Martin]
• Classifying Spaces and Boundaries for Relatively Hyperbolic Groups
• Random Walks on Infinite Graphs and Groups
• t-Martin Boundary of Killed Random Walks in the Quadrant
• Harmonic measures versus quasiconformal measures for hyperbolic groups
• The Martin Boundary for Random Walk