Moments of general time dependent branching processes with applications
Probability
2019-05-09 v2
Abstract
In this paper, we give sufficient conditions for a Crump-Mode-Jagers process to be bounded in for a given . This result is then applied to a recent random graph process motivated by pairwise collaborations and driven by time-dependent branching dynamics. We show that the maximal degree has the same rate of increase as the degree process of a fixed vertex.
Keywords
Cite
@article{arxiv.1807.00767,
title = {Moments of general time dependent branching processes with applications},
author = {Tamás F. Móri and Sándor Rokob},
journal= {arXiv preprint arXiv:1807.00767},
year = {2019}
}
Comments
12 pages