Pseudoisotropic random walks on free groups and semigroups

DOI10.1016/0047-259X(91)90046-5zbMath0744.60011MaRDI QIDQ1175670

Michael Voit

Publication date: 25 June 1992

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

zbMATH Keywords

law of large numbersfree grouplaw of the iterated logarithmcentral limit theoremlimit theoremspolynomial hypergroupsrandom walks on polynomial hypergroupsdiscrete hypergroupspseudoisotropic random walkrandom walks on free groups and semigroups

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Sums of independent random variables; random walks (60G50) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (4)

Limit theorems for compact two-point homogeneous spaces of large dimensions ⋮ A positivity result and normalization of positive convolution structures ⋮ A formula of Hilb's type for orthogonal polynomials ⋮ A law of the iterated logarithm for Markov chains on \(\mathbb{N}_ 0\) associated with orthogonal polynomials

Cites Work

• A law of the iterated logarithm for a class of polynomial hypergroups
• Central limit theorems for random walks on \({\mathbb{N}}_ 0\) that are associated with orthogonal polynomials
• The rate of escape for anisotropic random walks in a tree
• Laws of large numbers for hypergroups on \({\mathbb{R}}_+\)
• Limit theorems for random walks on discrete semigroups related to nonhomogeneous trees and Chebyshev polynomials
• Spaces with an abstract convolution of measures
• Marches aléatoires sur les groupes de Lie
• The central limit theorem for Chébli-Trimèche hypergroups
• Laws of large numbers for polynomial hypergroups and some applications
• Comportement asymptotique des marches aleatoires associees aux polynomes de Gegenbauer et applications
• Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
• La loi des grande nombres pour les marches aléatoires sur le dual de SU(2)
• Isotropic random walks in a tree
• Central limit theorems for a class of polynomial hypergroups
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