Limiting distributions for the maximal displacement of branching Brownian motions
type: Item
instance of: scholarly article
title: Limiting distributions for the maximal displacement of branching Brownian motions
zbMATH Open document ID: 1485.60080
author: Yasuhito Nishimori
author: Yuichi Shiozawa
published in: Journal of the Mathematical Society of Japan
publication date: 2022-02-07T00:00:00Z
full work available at URL: https://arxiv.org/abs/1903.02851
review text: The authors show the model of branching Brownian motions. They determine the long time behavior and the exact order of the tail probability for the maximal displacement of a branching Brownian motion in Euclidean space in terms of the principal eigenvalue of the associated Schrödinger type operator. The long time asymptotic properties of Feynman-Kac semigroups are derived. The subsequent sections are devoted to the proofs of the results presented in the paper.
reviewed by: Rózsa Horváth-Bokor
Mathematics Subject Classification ID: 60J80
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 60J55
Mathematics Subject Classification ID: 60J65
zbMATH DE Number: 7470023
zbMATH Keywords: branching Brownian motion
zbMATH Keywords: maximal displacement
zbMATH Keywords: spatial inhomogeneity
MaRDI profile type: Publication
OpenAlex ID: W3165819294
arXiv ID: 1903.02851
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DOI: 10.2969/JMSJ/85158515
description: scientific article