A uniform limit law for the branching measure on a Galton-Watson tree
type: Item
instance of: scholarly article
title: A uniform limit law for the branching measure on a Galton-Watson tree
zbMATH Open document ID: 0977.60078
author: Narn-Rueih Shieh
author: Quansheng Liu
published in: The Asian Journal of Mathematics
publication date: 2002-01-04T00:00:00Z
review text: There are proved a uniform asymptotic law for the branching measure on the boundary of a Galton-Watson tree, which is consistent with certain well-known uniform laws associated with Brownian motions. A certain spectrum formula arising from the uniform law is given. The formula has the same flavor as those in the article by \textit{N.-R. Shieh} and \textit{S. J. Taylor} [Stochastic Processes Appl. 75, No. 2, 249-261 (1998; Zbl 0932.60041)] for Brownian fast points and local times.
Mathematics Subject Classification ID: 60J80
zbMATH DE Number: 1563752
zbMATH Keywords: branching measure
zbMATH Keywords: Galton-Watson tree
zbMATH Keywords: Hausdorff dimension
reviewed by: Valentin Topchii
MaRDI profile type: Publication
full work available at URL: ajm.1999.v3.n2.a6
OpenAlex ID: W2625652069
DOI: 10.4310/AJM.1999.V3.N2.A6
description: scientific article; zbMATH DE number 1563752