127 citations · 331 across the 27 of their papers we have counts for
30 papers · 1 filter
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 critic…
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…
Conditioning (sub)critical L{é}vy trees by their maximal degree: Decomposition and local limit
Romain Abraham, Jean-François Delmas, Michel Nassif
We study the maximal degree of (sub)critical L{é}vy trees which arise as the scaling limits of Bienaym{é}-Galton-Watson trees. We determine the genealogical structure of large node…
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 function,…
Global Regime for General Additive Functionals of Conditioned Bienaym{é}-Galton-Watson Trees
Romain Abraham, Jean-François Delmas, Michel Nassif
We give an invariance principle for very general additive functionals of conditioned Bienaym{é}-Galton-Watson trees in the global regime when the offspring distribution lies in the…
Some properties of stationary continuous state branching processes
Romain Abraham, Jean-François Delmas, Hui He
We consider the genealogical tree of a stationary continuous state branching process with immigration. For a sub-critical stable branching mechanism, we consider the genealogical t…