Random walks on discrete Abelian groups

DOI10.4064/cm6462-11-2016zbMath1393.60047arXiv1411.7136OpenAlexW2964340260WikidataQ130166057 ScholiaQ130166057MaRDI QIDQ4565093

Margaryta Myronyuk

Publication date: 7 June 2018

Published in: Colloquium Mathematicum, Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.7136

zbMATH Keywords

random walkabelian groupcharacterization theoremHeyde's theoremdiscrete abelian group

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Characterization and structure theory of statistical distributions (62E10) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (14)

On Heyde's theorem for probability distributions on a discrete abelian group ⋮ Generalization of the Heyde theorem to some locally compact abelian groups ⋮ On the Heyde theorem for some locally compact abelian groups ⋮ Heyde's Characterization Theorem for Some Locally Compact Abelian Groups ⋮ The Heyde theorem on a group \(\mathbb{R}^n \times D\), where \(D\) is a discrete Abelian group ⋮ On a characterization of shifts of Haar distributions on compact open subgroups of a compact abelian group ⋮ On a characterization theorem in the space \(\mathbb{R}^n\) ⋮ On a Characterization Theorem for Probability Distributions on Discrete Abelian Groups ⋮ The Heyde theorem on the group of \(p\)-adic numbers ⋮ A characterization theorem on compact abelian groups ⋮ On Heyde's theorem on the group \(\mathbb{R} \times \mathbb{T} \) ⋮ On a characterization theorem for connected locally compact abelian groups ⋮ On a group analogue of the Heyde theorem ⋮ On a characterization theorem for locally compact abelian groups containing an element of order 2

Cites Work

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• Recurrence criteria for random walks on countable Abelian groups
• On the Heyde theorem for finite Abelian groups
• Functional equations and characterization problems on locally compact abelian groups
• Random walk on countably infinite Abelian groups
• On a characterization theorem for locally compact Abelian groups
• Random Walks on Abelian Groups
• On the Heyde theorem for discrete Abelian groups
• Marcinkiewicz and Lukacs Theorems on Abelian Groups
• On the Recurrence of a Certain Chain

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