127 citations · 331 across the 27 of their papers we have counts for
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Critical Multi-Type Galton-Watson Trees Conditioned to be Large
Romain Abraham, Jean-François Delmas, Hongsong Guo
Under minimal condition, we prove the local convergence of a critical multi-type Galton-Watson tree conditioned on having a large total progeny by types towards a multi-type Kesten…
Local limits of galton-watson trees conditioned on the number of protected nodes
Romain Abraham, Aymen Bouaziz, Jean-François Delmas
We consider a marking procedure of the vertices of a tree where each vertex is marked independently from the others with a probability that depends only on its out-degree. We prove…
An introduction to Galton-Watson trees and their local limits
Romain Abraham, Jean-François Delmas
The aim of this lecture is to give an overview of old and new resultson Bienaymé-Galton-Watson (BGW) trees. After introducing the framework of discretetrees, we first give alternat…