3 papers
math.PR2025
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…
cs.DM2023
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…
math.PR2023
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…