Rd中分支布朗运动的极大值

IF 1.4 2区数学 Q2 STATISTICS & PROBABILITY

Annals of Applied Probability Pub Date : 2023-04-01 DOI:10.1214/22-aap1848

Yujin H. Kim, E. Lubetzky, O. Zeitouni

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引用次数: 4

摘要

（当维度d从上下文中清楚时，我们将其从符号中省略，例如为mt（d）写mt等。）当d=1时，Bramson[5]证明了maxv∈NtX（v）t−mt（1）在分布上的收敛性，Lalley和Selke[10]将该极限确定为某个导数鞅的极限。从他们的结果和方法不难推断（例如参见[15，Thm.1.1]），当d=1时，

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The maximum of branching Brownian motion in Rd

(When the dimension d is clear from the context, we omit it from the notation, writing e.g. mt for mt(d), etc.) When d = 1, Bramson [5] proved the convergence in distribution of maxv∈NtX (v) t − mt(1), and the limit was identified by Lalley and Selke [10] to be the limit of a certain derivative martingale. It is not hard to deduce from their results and methods (see, e.g., [15, Thm. 1.1]) that, when d= 1,

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来源期刊

Annals of Applied Probability 数学-统计学与概率论

CiteScore

2.70

自引率

5.60%

发文量

108

审稿时长

6-12 weeks

期刊介绍： The Annals of Applied Probability aims to publish research of the highest quality reflecting the varied facets of contemporary Applied Probability. Primary emphasis is placed on importance and originality.