Polynomial Growth, Recurrence and Ergodicity for Random Walks on Locally Compact Groups and Homogeneous Spaces

DOI10.1007/978-3-0346-0244-0_4zbMath1221.22012OpenAlexW172205342MaRDI QIDQ5198974

Yves Guivarc'h, C. Robinson Edward Raja

Publication date: 10 August 2011

Published in: Random Walks, Boundaries and Spectra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0346-0244-0_4

zbMATH Keywords

polynomial growthrandom walkergodicity homogeneous spaces

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Potential theory on Riemannian manifolds and other spaces (31C12) Homogeneous flows (37A17)

Cites Work

• On the structure of groups with polynomial growth
• The density at infinity of a discrete group of hyperbolic motions
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Marches aléatoires sur les groupes de Lie
• Contraction groups and scales of automorphisms of totally disconnected locally compact groups
• The Choquet-Deny theorem and distal properties of totally disconnected locally compact groups of polynomial growth
• Conservative Markov processes on a topological space
• On growth, recurrence and the Choquet-Deny theorem for \(p\)-adic Lie groups
• Propriétés ergodiques, en mesure infinie, de certains systèmes dynamiques fibrés
• Croissance polynomiale et périodes des fonctions harmoniques
• Orbits of linear group actions, random walks on homogeneous spaces and toral automorphisms
• Random Walks on Infinite Graphs and Groups
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