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arXiv · 2104.07698

The maximum of branching Brownian motion in $\mathbb{R}^d$

Yujin H. Kim·Eyal Lubetzky·Ofer Zeitouni
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Abstract

We show that in branching Brownian motion (BBM) in $\mathbb{R}^d$, $d\geq 2$, the law of $R_t^*$, the maximum distance of a particle from the origin at time $t$, converges as $t\to\infty$ to the law of a randomly shifted Gumbel random variable.

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Yujin H. Kim, Eyal Lubetzky, Ofer Zeitouni. 2021-04-15. The maximum of branching Brownian motion in $\mathbb{R}^d$. https://arxiv.org/abs/2104.07698

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