Limit distributions of the number of vertices of a given out-degree in a random forest
type: Item
instance of: scholarly article
title: Limit distributions of the number of vertices of a given out-degree in a random forest
zbMATH Open document ID: 1124.60013
author: T. Mylläri
author: Yuri L. Pavlov
published in: Journal of Mathematical Sciences (New York)
publication date: 2007-04-19T00:00:00Z
review text: The authors study a Galton-Watson forest with \(N\) trees and \(n\) nonrooted vertices (or particles). They obtain the limit properties of the number of vertices with a given number out-degree or particles with, say, \(r\) offsprings as \(N\) and \(n\) tend to infinity by different ways.
Mathematics Subject Classification ID: 60C05
Mathematics Subject Classification ID: 60J80
Mathematics Subject Classification ID: 60F99
zbMATH DE Number: 5144819
zbMATH Keywords: random forest
zbMATH Keywords: Galton-Watson process
zbMATH Keywords: limit distribution
reviewed by: Alexander I. Zejfman
MaRDI profile type: Publication
full work available at URL: s10958-006-0309-1
OpenAlex ID: W2031162900
cites work: Emergence of the giant tree in a random forest
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cites work: Limit distributions for the number of leaves in a random forest
cites work: Limit distributions of the number of vertices in strata of a simply generated forest
DOI: 10.1007/S10958-006-0309-1
description: scientific article; zbMATH DE number 5144819