3 papers
math.PR2022
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…
math.PR2021
Limiting Behavior Of Additive Functionals On The Stable Tree
Michel Nassif
We study the shape of the normalized stable Lévy tree near its root. We show that, when zooming in at the root at the proper speed with a scaling depending on the ind…
math.PR2020
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…