Random walks on abelian-by-cyclic groups

DOI10.1090/S0002-9939-02-06674-1zbMath1064.20074OpenAlexW1523065410MaRDI QIDQ4787492

Laurent Saloff-Coste, Christophe Pittet

Publication date: 7 January 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06674-1

zbMATH Keywords

random walksmetabelian groupsheat kernel decayasymptotic invariants of infinite groups

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Generalizations of solvable and nilpotent groups (20F19) Asymptotic properties of groups (20F69) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Probabilistic methods in group theory (20P05)

Related Items

Compact \(\kappa \)-deformation and spectral triples ⋮ Metabelian groups with large return probability

Cites Work

• Almost finitely presented soluble groups
• A rigidity theorem for the solvable Baumslag-Solitar groups. (With an appendix by Daryl Cooper)
• On the asymptotic geometry of Abelian-by-cyclic groups
• On random walks on wreath products
• On the Finiteness of Certain Soluble Groups
• Full Banach Mean Values on Countable groups.
• Random Walks on Infinite Graphs and Groups - a Survey on Selected topics
• A geometric approach to on-diagonal heat kernel lower bounds on groups.
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