107 citations · 638 across the 39 of their papers we have counts for
44 papers
Almost sure path localisation for the derivative martingale of branching Brownian motion
Julien Berestycki, Louis Chataignier, Gabriel Flath
The evolution of the front of branching Brownian motion is determined by the limit of the derivative martingale. In this work, we characterise which particles contribute to this li…
Convergence and front position for an FKPP-type free boundary problem
Julien Berestycki, Sarah Penington, Oliver Tough
The free boundary problem\[ \begin{cases} \partial_tu=\frac{1}{2}Δu+u,\quad &t>0, \, x>L_t,\\ u(t,x)=0,\quad &t>0,\, x\le L_t,\\ \int_{L_t}^{\infty}u(t,y)dy=1,\quad &t> 0,\\ u(t,x)…
Polynomial slowdown in an angle-dependent 2d branching Brownian motion
Julien Berestycki, David Geldbach, Michel Pain
We consider a branching Brownian motion in in which particles independently diffuse as standard Brownian motions and branch at an inhomogeneous rate which dep…
Biased branching random walks on Bienaymé--Galton--Watson trees
Julien Berestycki, Nina Gantert, David Geldbach +1
We study -biased branching random walks on Bienaymé--Galton--Watson trees in discrete time. We consider the maximal displacement at time , $\max_{\vert u \vert =n} \vert X(u)…
The Yaglom limit for branching Brownian motion with absorption and slightly subcritical drift
Julien Berestycki, Jiaqi Liu, Bastien Mallein +1
Consider branching Brownian motion with absorption in which particles move independently as one-dimensional Brownian motions with drift , each particle splits into two particle…
Selection principle for the -BBM
Julien Berestycki, Oliver Tough
The -branching Brownian motion with selection (-BBM) is a particle system consisting of independent particles that diffuse as Brownian motions in , branch at…