The maximum of a critical branching Wiener process
type: Item
instance of: scholarly article
title: The maximum of a critical branching Wiener process
zbMATH Open document ID: 0917.60084
DOI: 10.1023/A:1022664831729
published in: Journal of Theoretical Probability
publication date: 1999-03-08T00:00:00Z
review text: A critical branching Wiener process on \(\mathbb{R}\), starting from a single particle situated at 0, is studied (i.e., critical binary branching of all particles occurs at all discrete times \(n=1,2,\dots)\). Limit theorems are derived for the spatially rescaled empirical measures and for the maximal position at time \(n\) as \(n\to\infty\), conditioned on non-extinction. As mentioned, the limiting rescaled position of the right most particle by time \(n\) had been studied under more general conditions by \textit{H. Kesten} [ibid. 8, No. 4, 921-962 (1995; Zbl 0857.60087)].
Mathematics Subject Classification ID: 60J80
Mathematics Subject Classification ID: 60G57
zbMATH DE Number: 1234276
author: Pál Révész
MaRDI profile type: Publication
full work available at URL: a:1022664831729
OpenAlex ID: W195489597
description: scientific article; zbMATH DE number 1234276