15 citations · 56 across the 22 of their papers we have counts for
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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…
Site Frequency Spectrum in stationary branching populations
Romain Abraham, Jean-François Delmas, Patrick Hoscheit
This paper explores the Site Frequency Spectrum (SFS) in stationary branching populations. We derive estimates for the SFS associated with a sample from a continuous-state branchin…
Conditioning Bienaym{é}-Galton-Watson trees to have large sub-populations
Romain Abraham, Hongwei Bi, Jean-François Delmas
We study the local limit in distribution of Bienaym{é}-Galton-Watson trees conditioned on having large sub-populations. Assuming a generic and aperiodic condition on the offspring…
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,…
Central limit theorem for bifurcating Markov chains under -ergodic conditions
S. Valère Bitseki Penda, Jean-François Delmas
Bifurcating Markov chains (BMC) are Markov chains indexed by a full binary tree representing the evolution of a trait along a population where each individual has two children. We…