THE MAXIMUM OF BRANCHING BROWNIAN MOTION IN Rd

Yujin H. Kim,Eyal Lubetzky,Ofer Zeitouni

ANNALS OF APPLIED PROBABILITY（2023）

引用 3|浏览6

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摘要

We show that in branching Brownian motion (BBM) in Rd, d > 2, the law of Rt*, the maximum distance of a particle from the origin at time t, con-verges as t -> oo to the law of a randomly shifted Gumbel random variable.

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关键词

Branching Brownian motion,Bessel process,extremal process,log-correlated field

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