The maximum of branching Brownian motion in Rd

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-04-01 DOI:10.1214/22-aap1848

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

引用次数: 4

Abstract

(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,

查看原文本刊更多论文

Rd中分支布朗运动的极大值

（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，

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.