3 papers
math.PR2026
Coupling some conditioned L{é}vy trees with the Kesten tree
Romain Abraham, Jean-François Delmas
We consider locally compact L{é}vy trees conditioned to be large, with respect to different criterion: its height, its maximal ''size'' vertex and its total ''mass''. In the criti…
math.PR2025
Brownian continuum random tree conditioned to be large
Romain Abraham, Jean-Franç Ois Delmas, Hui He
We consider a Feller diffusion (Zs, s 0) (with diffusion coefficient $\sqrt$ 2 and drift R) that we condition on {Zt = at}, where at is a deterministic functio…
math.PR2025
Local limits of conditioned marked Galton Watson trees
Romain Abraham, Sonia Boulal, Pierre Debs
We consider a Galton-Watson tree where each node is marked independently of each others with a probability depending on its outdegree. We give a complete picture of the local conve…