3 papers
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
Hyperbolic branching Brownian motion: the empirical limit measure
David Geldbach
We study branching Brownian motion in hyperbolic space. As hyperbolic Brownian motion is transient, the normalised empirical measure of branching Brownian motion converges to a ran…
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…