Branching Brownian motion with spatially homogeneous and point-catalytic branching

Sergey Bocharov; Li Wang

doi:10.1017/jpr.2019.51

Branching Brownian motion with spatially homogeneous and point-catalytic branching

Sergey Bocharov, Li Wang

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

We consider a model of branching Brownian motion in which the usual spatially homogeneous branching and catalytic branching at a single point are simultaneously present. We establish the almost sure growth rates of population in certain time-dependent regions and as a consequence the first-order asymptotic behaviour of the rightmost particle.

Original language	English
Pages (from-to)	891-917
Number of pages	27
Journal	Journal of Applied Probability
Volume	56
Issue number	3
DOIs	https://doi.org/10.1017/jpr.2019.51
Publication status	Published - 1 Sept 2019
Externally published	Yes

Keywords

Branching Brownian motion
local times

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10.1017/jpr.2019.51

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title = "Branching Brownian motion with spatially homogeneous and point-catalytic branching",

abstract = "We consider a model of branching Brownian motion in which the usual spatially homogeneous branching and catalytic branching at a single point are simultaneously present. We establish the almost sure growth rates of population in certain time-dependent regions and as a consequence the first-order asymptotic behaviour of the rightmost particle.",

keywords = "Branching Brownian motion, local times",

author = "Sergey Bocharov and Li Wang",

note = "Publisher Copyright: {\textcopyright} 2019 Applied Probability Trust.",

year = "2019",

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doi = "10.1017/jpr.2019.51",

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T1 - Branching Brownian motion with spatially homogeneous and point-catalytic branching

AU - Bocharov, Sergey

AU - Wang, Li

PY - 2019/9/1

Y1 - 2019/9/1

N2 - We consider a model of branching Brownian motion in which the usual spatially homogeneous branching and catalytic branching at a single point are simultaneously present. We establish the almost sure growth rates of population in certain time-dependent regions and as a consequence the first-order asymptotic behaviour of the rightmost particle.

AB - We consider a model of branching Brownian motion in which the usual spatially homogeneous branching and catalytic branching at a single point are simultaneously present. We establish the almost sure growth rates of population in certain time-dependent regions and as a consequence the first-order asymptotic behaviour of the rightmost particle.

KW - Branching Brownian motion

KW - local times

UR - https://www.scopus.com/pages/publications/85072819807

U2 - 10.1017/jpr.2019.51

DO - 10.1017/jpr.2019.51

M3 - Article

AN - SCOPUS:85072819807

SN - 0021-9002

VL - 56

SP - 891

EP - 917

JO - Journal of Applied Probability

JF - Journal of Applied Probability

IS - 3

ER -

Branching Brownian motion with spatially homogeneous and point-catalytic branching

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Keywords

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