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arXiv · 1807.00767

Moments of general time dependent branching processes with applications

Tamás F. Móri·Sándor Rokob
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Abstract

In this paper, we give sufficient conditions for a Crump-Mode-Jagers process to be bounded in $L_k$ for a given $k>1$. 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.

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Tamás F. Móri, Sándor Rokob. 2018-07-02. Moments of general time dependent branching processes with applications. https://arxiv.org/abs/1807.00767

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