On the rate of convergence of the laws of Markov chains associated with orthogonal polynomials

DOI10.1016/S0377-0427(98)00163-0zbMath0929.60010MaRDI QIDQ1298569

Marc Lindlbauer

Publication date: 24 January 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

rate of convergencecentral limit theorempolynomial hypergroupsrandom walks on homogeneous trees

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Harmonic analysis on hypergroups (43A62) Convergence of probability measures (60B10)

Related Items (1)

Limit theorems for isotropic random walks on triangle buildings

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Central limit theorems for random walks on \({\mathbb{N}}_ 0\) that are associated with orthogonal polynomials
• Infinite distance transitive graphs of finite valency
• Polynomial hypergroups in several variables
• Spaces with an abstract convolution of measures
• Comportement asymptotique des marches aleatoires associees aux polynomes de Gegenbauer et applications
• Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
• Central limit theorems for a class of polynomial hypergroups

This page was built for publication: On the rate of convergence of the laws of Markov chains associated with orthogonal polynomials