Some examples of random walks on free products of discrete groups

DOI10.1007/BF01762785zbMath0661.60018OpenAlexW2093065525MaRDI QIDQ1113161

Donald I. Cartwright

Publication date: 1988

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01762785

zbMATH Keywords

convolution productsPlancherel measurerandom walks on treesfree product of a family of discrete groups

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (9)

Random walks on free products of cyclic groups ⋮ On the asymptotic behaviour of convolution powers of probabilities on discrete groups ⋮ Local limit theorems in relatively hyperbolic groups I: rough estimates ⋮ Local limit theorems in relatively hyperbolic groups II: the non-spectrally degenerate case ⋮ Introduction to the Rapid Decay property ⋮ Toeplitz quotient \(C^*\)-algebras and ratio limits for random walks ⋮ Uniform asymptotic estimates of transition probabilities on combs ⋮ Return probabilities on nonunimodular transitive graphs ⋮ Phase transitions for random walk asymptotics on free products of groups

Uses Software

• NAG
• nag

Cites Work

• Approximation Theorems of Mathematical Statistics
• Random walks on free products, quotients and amalgams
• Théorème central limite local sur certains groupes de Lie
• Analytic Continuation of Laplace Transforms by Means of Asymptotic Series
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