Behavior of 1-dimensional reinforced random walk
type: Item
instance of: scholarly article
title: Behavior of 1-dimensional reinforced random walk
zbMATH Open document ID: 0962.60017
author: Masaki Takeshima
published in: Osaka Journal of Mathematics
publication date: 2001-06-01T00:00:00Z
review text: The author extends Davis' results to matrix type weight processes and investigates the conditions on the initial weights under which it can be observed transience of the walk. Also, a recurrence criterion in terms of initial weights of a Diaconis walk is given. Finally, the law of large numbers is considered. For related papers see \textit{B. Davis} [Probab. Theory Relat. Fields 84, No. 2, 203-229 (1990; Zbl 0665.60077)], \textit{P. Diaconis} [in: Bayesian statistics 3, 111-125 (1988; Zbl 0707.60033)] and \textit{R. Pemantle} [Ann. Probab. 16, No. 3, 1229-1241 (1988; Zbl 0648.60077)].
reviewed by: Gheorghe Oprişan
Mathematics Subject Classification ID: 60G50
Mathematics Subject Classification ID: 60J10
Mathematics Subject Classification ID: 60F05
zbMATH DE Number: 1515479
zbMATH Keywords: reinforced random walk
zbMATH Keywords: recurrence of a walk
zbMATH Keywords: weight processes
zbMATH Keywords: asymptotic behavior
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1515479