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math.PR2026
Almost sure path localisation for the derivative martingale of branching Brownian motion
Julien Berestycki, Berestycki Julien, Louis Chataignier +3
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…
math.PR2026
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(…
math.PR2026
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 de…