The minimal subgroup of a random walk
type: Item
instance of: scholarly article
title: The minimal subgroup of a random walk
zbMATH Open document ID: 1007.60034
DOI: 10.1023/A:1014884725213
author: Gerold Alsmeyer
published in: Journal of Theoretical Probability
publication date: 2002-08-20T00:00:00Z
review text: The author proves that for each random walk \((S_{n})\) on \(\mathbb R^{d}\) there exists a minimal subgroup \(G\) such that \(P(S_{n}\in G)=1\), \(\forall n\geq 1\). The minimal subgroup of the symmetrization of \((S_{n})\) is also considered. Finally, the quasi-invariance and the admissible shift of probability measures on \(\mathbb R^{d}\) are studied.
reviewed by: Mihai Gradinaru
Mathematics Subject Classification ID: 60G50
zbMATH DE Number: 1784209
zbMATH Keywords: random walk
zbMATH Keywords: minimal subgroup
zbMATH Keywords: zero-one law
MaRDI profile type: Publication
full work available at URL: a:1014884725213
OpenAlex ID: W2172844951
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description: scientific article; zbMATH DE number 1784209