A conceptual approach to a path result for branching Brownian motion
type: Item
instance of: scholarly article
title: A conceptual approach to a path result for branching Brownian motion
zbMATH Open document ID: 1114.60065
author: Simon C. Harris
author: Robert J. Hardy
published in: Stochastic Processes and their Applications
publication date: 2007-01-09T00:00:00Z
review text: Continuing their spine approach to branching diffusions [\texttt{http:///www.bath.ac.uk/\(^\sim\)massch/} Research/Papers] the authors give an intuitive, fairly straightforward proof of a path large-deviation result for branching Brownian motions with local space-independent binary branching. In contrast to the proof of \textit{T.-Y. Lee} [Ann. Probab. 20, No. 3, 1288--1309 (1992; Zbl 0759.60024)], which relied on Freidlin's work on rescaling solutions of reaction-diffusion equations, it combines a spine change of measure with Schilder's classical large-deviation result for Brownian motion.
reviewed by: Heinrich Hering
Mathematics Subject Classification ID: 60J80
Mathematics Subject Classification ID: 60F10
Mathematics Subject Classification ID: 60J55
zbMATH DE Number: 5083389
zbMATH Keywords: branching processes
zbMATH Keywords: branching Brownian motion
zbMATH Keywords: size-biased measures
zbMATH Keywords: spine decomposition
zbMATH Keywords: path large deviations
zbMATH Keywords: Schilder's theorem
zbMATH Keywords: Brownian motion
MaRDI profile type: Publication
full work available at URL: j.spa.2006.05.010
OpenAlex ID: W2013921642
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DOI: 10.1016/J.SPA.2006.05.010
description: scientific article; zbMATH DE number 5083389