3 citations · 10 across the 24 of their papers we have counts for
5 papers · 1 filter
The longest branches in a non-Markovian phylogenetic tree
Sergey Bocharov, Simon C. Harris, Bastien Mallein
Consider a Bellman--Harris-type branching process, in which individuals evolve independently of one another, giving birth after a random time to a random number of children…
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…
Phase transition of the consistent maximal displacement of branching Brownian motion
Julien Berestycki, Jiaqi Liu, Bastien Mallein +1
Consider branching Brownian motion in which we begin with one particle at the origin, particles independently move according to Brownian motion, and particles split into two at rat…
Extremal Process of Last Progeny Modified Branching Random Walks
Partha Pratim Ghosh, Bastien Mallein
We consider a last progeny modified branching random walk, in which the position of each particle at the last generation is modified by an i.i.d. copy of a random variable .…
Freezing in the Infinite-Bin Model
Bastien Mallein, Sanjay Ramassamy, Arvind Singh
The infinite-bin model is a one-dimensional particle system on introduced by Foss and Konstantopoulos in relation with last passage percolation on complete directed ac…