周期环境中的分支布朗运动与脉动行波的唯一性

IF 0.9 4区数学 Q3 STATISTICS & PROBABILITY Advances in Applied Probability Pub Date : 2022-02-23 DOI:10.1017/apr.2022.32

Yanxia Ren, R. Song, Fan Yang

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引用次数: 1

摘要

摘要利用周期环境中的一维分支布朗运动，给出了周期环境中Fisher–Kolmogorov–Petrovskii–Piskounov（F-KPP）方程脉动行波的渐近性和唯一性的概率证明。本文是“周期环境中的分支布朗运动和脉动行波的存在”（Ren et al.，2022）的续篇，其中我们利用周期环境中分支布朗运动的加性和导数鞅的极限，证明了在超临界和临界情况下脉动行波的存在。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Branching Brownian motion in a periodic environment and uniqueness of pulsating traveling waves

Abstract Using one-dimensional branching Brownian motion in a periodic environment, we give probabilistic proofs of the asymptotics and uniqueness of pulsating traveling waves of the Fisher–Kolmogorov–Petrovskii–Piskounov (F-KPP) equation in a periodic environment. This paper is a sequel to ‘Branching Brownian motion in a periodic environment and existence of pulsating travelling waves’ (Ren et al., 2022), in which we proved the existence of the pulsating traveling waves in the supercritical and critical cases, using the limits of the additive and derivative martingales of branching Brownian motion in a periodic environment.

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来源期刊

Advances in Applied Probability 数学-统计学与概率论

CiteScore

2.00

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Advances in Applied Probability has been published by the Applied Probability Trust for over four decades, and is a companion publication to the Journal of Applied Probability. It contains mathematical and scientific papers of interest to applied probabilists, with emphasis on applications in a broad spectrum of disciplines, including the biosciences, operations research, telecommunications, computer science, engineering, epidemiology, financial mathematics, the physical and social sciences, and any field where stochastic modeling is used. A submission to Applied Probability represents a submission that may, at the Editor-in-Chief’s discretion, appear in either the Journal of Applied Probability or the Advances in Applied Probability. Typically, shorter papers appear in the Journal, with longer contributions appearing in the Advances.