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- W4287636670 abstract "We study the distance between the two rightmost particles in branching Brownian motion. Derrida and the second author have shown that the long-time limit $d_{12}$ of this random variable can be expressed in terms of PDEs related to the Fisher--KPP equation. We use such a representation to determine the sharp asymptotics of $mathbb{P}(d_{12} > a)$ as $ato+infty$. These tail asymptotics were previously known to exponential order; we discover an algebraic correction to this behavior." @default.
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- W4287636670 date "2020-10-20" @default.
- W4287636670 modified "2023-09-30" @default.
- W4287636670 title "The distance between the two BBM leaders" @default.
- W4287636670 doi "https://doi.org/10.48550/arxiv.2010.10431" @default.
- W4287636670 hasPublicationYear "2020" @default.
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