Thin and thick points for branching measure on a Galton-Watson tree
type: Item
instance of: scholarly article
title: Thin and thick points for branching measure on a Galton-Watson tree
zbMATH Open document ID: 1005.60090
DOI: 10.1016/S0167-7152(02)00093-7
author: Peter Mörters
author: Narn-Rueih Shieh
published in: Statistics \& Probability Letters
publication date: 2002-09-05T00:00:00Z
review text: The authors consider a supercritical Galton-Watson tree starting from a single progenitor, with offspring distribution \(N\) such that \(E[N\log^+ N]<\infty\). They obtain the dimension spectrum when \(P\{N \leq 1 \}=0\), and when \(0\), \(\sup\{t: E[\exp(tN)]<\infty\}<\infty\). These generalize the results of \textit{N.-R. Shieh} and \textit{S. J. Taylor} [Stochastic Processes Appl. 75, No. 2, 249-261 (1998; Zbl 0932.60041)] and \textit{Q. Liu} [Ann. Inst. Henri Poincaré, Probab. Stat. 37, No. 2, 195-222 (2001; Zbl 0986.60080)].
Mathematics Subject Classification ID: 60J80
zbMATH DE Number: 1796759
zbMATH Keywords: Galton-Watson tree
zbMATH Keywords: dimension spectrum
reviewed by: P. R. Parthasarathy
MaRDI profile type: Publication
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full work available at URL: s0167-7152(02)00093-7
OpenAlex ID: W2090444239
description: scientific article; zbMATH DE number 1796759