Strong laws of large numbers for random walks associated with a class of one-dimensional convolution structures

DOI10.1007/BF01299306zbMath0764.60036MaRDI QIDQ1207680

Michael Voit

Publication date: 12 May 1993

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178553

zbMATH Keywords

strong laws of large numbersrandom walks on polynomial hypergroupsSturm-Liouville hypergroups

Mathematics Subject Classification ID

Strong limit theorems (60F15) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Harmonic analysis on hypergroups (43A62)

Related Items (4)

Rate of escape and central limit theorem for the supercritical Lamperti problem ⋮ Cutoff phenomenon for nearest Lamperti's random walk ⋮ Asymptotic behaviour of randomly reflecting billiards in unbounded tubular domains ⋮ Transient nearest neighbor random walk on the line

Cites Work

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• 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
• Laws of large numbers for hypergroups on \({\mathbb{R}}_+\)
• One-dimensional hypergroups
• Spaces with an abstract convolution of measures
• The central limit theorem for Chébli-Trimèche hypergroups
• Laws of large numbers for polynomial hypergroups and some applications
• Central limit theorems for a class of polynomial hypergroups

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