Critical Multi-Type Galton-Watson Trees Conditioned to be Large
Probability
2016-09-28 v2
Abstract
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's tree. We obtain the result by generalizing Neveu's strong ratio limit theorem for aperiodic random walks on Z^d .
Keywords
Cite
@article{arxiv.1511.01721,
title = {Critical Multi-Type Galton-Watson Trees Conditioned to be Large},
author = {Romain Abraham and Jean-François Delmas and Hongsong Guo},
journal= {arXiv preprint arXiv:1511.01721},
year = {2016}
}