随机环境下分支布朗运动最大位置过程的不变性原理

IF 1.3 3区数学 Q2 STATISTICS & PROBABILITY

Electronic Journal of Probability Pub Date : 2022-06-16 DOI:10.1214/23-ejp956

Haojie Hou, Y-X. Ren, R. Song

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引用次数: 1

摘要

本文研究了随机空间环境中分支布朗运动的最大位置过程。随机环境是由满足某些条件的过程$\neneneba xi=\left（\nenenebb xi（x）\right）_｛x\in\mathbb｛R｝｝$给出的。我们证明了粒子在$t$时刻的最大位置$M_t$满足一个淬灭的强数定律和一个退火不变原理。

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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Invariance principle for the maximal position process of branching Brownian motion in random environment

In this paper we study the maximal position process of branching Brownian motion in random spatial environment. The random environment is given by a process $\xi = \left(\xi(x)\right)_{x\in\mathbb{R}}$ satisfying certain conditions. We show that the maximum position $M_t$ of particles alive at time $t$ satisfies a quenched strong law of large numbers and an annealed invariance principle.

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来源期刊

Electronic Journal of Probability 数学-统计学与概率论

CiteScore

1.80

自引率

7.10%

发文量

119

审稿时长

4-8 weeks

期刊介绍： The Electronic Journal of Probability publishes full-size research articles in probability theory. The Electronic Communications in Probability (ECP), a sister journal of EJP, publishes short notes and research announcements in probability theory. Both ECP and EJP are official journals of the Institute of Mathematical Statistics and the Bernoulli society.