Martin boundaries of some branching processes
type: Item
instance of: scholarly article
title: Martin boundaries of some branching processes
zbMATH Open document ID: 0807.60079
author: L. Overbeck
published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques
publication date: 1995-02-22T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/77478
review text: This paper describes the Martin boundary of three branching processes: the Yule process, the critical continuous-time Markov branching process in which each particle has either 0 or 2 children, and Feller's continuous-state branching process. The descriptions are obtained by blending general theory with calculations drawing on detailed knowledge of the transition probabilities for these models. For extremal harmonic \(h\), the \(h\)-transformed processes are also described.
Mathematics Subject Classification ID: 60J80
Mathematics Subject Classification ID: 60J50
zbMATH DE Number: 579555
zbMATH Keywords: space-time harmonic functions
zbMATH Keywords: Martin boundary
zbMATH Keywords: branching processes
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 579555