E. Brunet

activity

20002023

most citedShift in the velocity of a front due to a cut-off

471 citations · 1.8k across the 34 of their papers we have counts for

collaborators

Showing 2015 · math.PRShow all

2 papers · 2 filters

math.PR2015★ 14 cited

Vanishing corrections for the position in a linear model of FKPP fronts

Julien Berestycki, Éric Brunet, Simon C. Harris +1

Take the linearised FKPP equation \[\partial_t h =\partial^2_x h +h\] with boundary condition $h (m (t), t) = 0$ . Depending on the behaviour of the initial condition $h_{0} (x) = h (x, 0)$ we…

math.PR2015

Branching Brownian motion with absorption and the all-time minimum of branching Brownian motion with drift

Julien Berestycki, Éric Brunet, Simon C. Harris +1

We study a dyadic branching Brownian motion on the real line with absorption at 0, drift $μ \in R$ and started from a single particle at position $x > 0.$ When $μ$ is large e…