Laws of large numbers for polynomial hypergroups and some applications

DOI10.1007/BF01045161zbMath0719.60010MaRDI QIDQ2640216

Michael Voit

Publication date: 1990

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

zbMATH Keywords

strong laws of large numberspolynomial hypergroupsisotropic random walks on some discrete semigroups

Mathematics Subject Classification ID

Strong limit theorems (60F15) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (12)

Linearization of the product of symmetric orthogonal polynomials ⋮ Limit theorems for isotropic random walks on triangle buildings ⋮ Moment functions and central limit theorem for Jacobi hypergroups on \([0,\infty [\) ⋮ Pseudoisotropic random walks on free groups and semigroups ⋮ On the local time of random walks associated with Gegenbauer polynomials ⋮ A note on property (T) of orthogonal polynomials ⋮ Polynomial hypergroups in several variables ⋮ Moment functions and laws of large numbers on hypergroups ⋮ Strong laws of large numbers for random walks associated with a class of one-dimensional convolution structures ⋮ 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 ⋮ A law of the iterated logarithm for Markov chains on \(\mathbb{N}_ 0\) associated with orthogonal polynomials

Cites Work

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• Laws of large numbers for hypergroups on \({\mathbb{R}}_+\)
• Convolution semigroups on hypergroups
• Limit theorems for random walks on discrete semigroups related to nonhomogeneous trees and Chebyshev polynomials
• Positive characters on commutative hypergroups and some applications
• Spaces with an abstract convolution of measures
• The central limit theorem for Chébli-Trimèche hypergroups
• 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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