127 citations · 414 across the 48 of their papers we have counts for
56 papers
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…
Probability-graphons: Limits of large dense weighted graphs
Romain Abraham, Jean-François Delmas, Julien Weibel
We introduce probability-graphons which are probability kernels that generalize graphons to the case of weighted graphs. Probability-graphons appear as the limit objects to study s…
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…
Optimal vaccinations: Cordons sanitaires, reducible population and optimal rays
Jean-François Delmas, Dylan Dronnier, Pierre-André Zitt
We consider the bi-objective problem of allocating doses of a (perfect) vaccine to an infinite-dimensional metapopulation in order to minimize simultaneously the vaccination cost a…