An introduction to Galton-Watson trees and their local limits
Probability
2024-09-19 v3
Abstract
The aim of this lecture is to give an overview of old and new resultson Bienaym\'e-Galton-Watson (BGW) trees. After introducing the framework of discretetrees, we first give alternative proofs of classical results on theextinction probability of BGW processes and on thedescription of the processes conditioned on extinction or onnon-extinction. Then, we study recent local limits of critical orsub-critical BGW trees conditioned to be large.
Keywords
Cite
@article{arxiv.1506.05571,
title = {An introduction to Galton-Watson trees and their local limits},
author = {Romain Abraham and Jean-François Delmas},
journal= {arXiv preprint arXiv:1506.05571},
year = {2024}
}
Comments
Lecture given in Hammamet, December 2014