The distance between the two BBM leaders

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 s...

Full description

Bibliographic Details
Main Authors: Berestycki, J, Brunet, E, Graham, C, Mytnik, L, Roquejoffre, J-M, Ryzhik, L
Format: Journal article
Language:English
Published: IOP Publishing 2022