David Geldbach

collaborators

3 papers

math.PR2025

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.PR2025

Polynomial slowdown in an angle-dependent 2d branching Brownian motion

Julien Berestycki, David Geldbach, Michel Pain

We consider a branching Brownian motion in $R^{2}$ in which particles independently diffuse as standard Brownian motions and branch at an inhomogeneous rate $b (θ)$ which dep…

math.PR2025

Biased branching random walks on Bienaymé--Galton--Watson trees

Julien Berestycki, Nina Gantert, David Geldbach +1

We study $λ$ -biased branching random walks on Bienaymé--Galton--Watson trees in discrete time. We consider the maximal displacement at time $n$ , $\max_{\vert u \vert =n} \vert X(u)…