A note on the maximal out-degree of Galton-Watson trees
Probability
2015-03-10 v1
Abstract
In this note we consider both the local maximal out-degree and the global maximal out-degree of Galton-Watson trees. In particular, we show that the tail of any local maximal out-degree and that of the offspring distribution are asymptotically of the same order. However for the global maximal out-degree, this is only true in the subcritical case.
Keywords
Cite
@article{arxiv.1503.02142,
title = {A note on the maximal out-degree of Galton-Watson trees},
author = {Xin He},
journal= {arXiv preprint arXiv:1503.02142},
year = {2015}
}
Comments
7 pages