471 citations · 1.8k across the 34 of their papers we have counts for
4 papers · 1 filter
Ahead of the Fisher-KPP front
Éric Brunet
The solution h to the Fisher-KPP equation with a steep enough initial condition develops into a front moving at velocity 2, with logarithmic corrections to its position. In this pa…
The distance between the two BBM leaders
Julien Berestycki, Éric Brunet, Cole Graham +3
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 of this random va…
A free boundary problem arising from branching Brownian motion with selection
Julien Berestycki, Éric Brunet, James Nolen +1
We study a free boundary problem for a parabolic partial differential equation in which the solution is coupled to the moving boundary through an integral constraint. The problem a…
Global existence for a free boundary problem of Fisher-KPP type
Julien Berestycki, Eric Brunet, Sarah Penington
Motivated by the study of branching particle systems with selection, we establish global existence for the solution of the free boundary problem \[ \begin{cases} \partial_t…