Random walks on convergence groups

DOI10.4171/GGD/654MaRDI QIDQ2102161

Aitor Azemar

Publication date: 28 November 2022

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.09486

zbMATH Keywords

random walkshyperbolic groupsPoisson boundarycompact metrizable space

Mathematics Subject Classification ID

Dynamical systems and their relations with probability theory and stochastic processes (37A50) Hyperbolic groups and nonpositively curved groups (20F67) Dynamics in general topological spaces (37B02)

Cites Work

• Strongly approximately transitive group actions, the Choquet-Deny theorem, and polynomial growth
• Random walks on weakly hyperbolic groups
• Martin boundary covers Floyd boundary
• A dynamical characterization of acylindrically hyperbolic groups
• Sublinear deviation between geodesics and sample paths
• Weak mixing properties for non-singular actions
• Linear progress in the complex of curves
• Discrete Quasiconformal Groups I
• Conical limit points and uniform convergence groups
• A topological characterisation of hyperbolic groups
• Random Walks on Infinite Graphs and Groups
• Random walks, WPD actions, and the Cremona group
• The Poisson formula for groups with hyperbolic properties
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