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October 2019 Maximal displacement and population growth for branching Brownian motions
Yuichi Shiozawa
Illinois J. Math. 63(3): 353-402 (October 2019). DOI: 10.1215/00192082-7854864

Abstract

We study the maximal displacement and related population for a branching Brownian motion in Euclidean space in terms of the principal eigenvalue of an associated Schrödinger type operator. We first determine their growth rates on the survival event. We then establish the upper deviation for the maximal displacement under the possibility of extinction. Under the nonextinction condition, we further discuss the decay rate of the upper deviation probability and the population growth at the critical phase.

Citation

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Yuichi Shiozawa. "Maximal displacement and population growth for branching Brownian motions." Illinois J. Math. 63 (3) 353 - 402, October 2019. https://doi.org/10.1215/00192082-7854864

Information

Received: 25 October 2018; Revised: 14 May 2019; Published: October 2019
First available in Project Euclid: 19 September 2019

zbMATH: 07110746
MathSciNet: MR4012348
Digital Object Identifier: 10.1215/00192082-7854864

Subjects:
Primary: 60J80
Secondary: 60J65

Rights: Copyright © 2019 University of Illinois at Urbana-Champaign

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Vol.63 • No. 3 • October 2019
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