Moments of general time dependent branching processes with applications

被引：1
|
作者：
Mori, T. F. [1 ]
Rokob, S. [2 ]
机构：
[1] Eotvos Lorand Univ, Dept Probabil Theory & Stat, Pazmany P S 1-C, H-1117 Budapest, Hungary
[2] Budapest Univ Technol & Econ, Dept Stochast, Egry J U 1, H-1111 Budapest, Hungary
来源：
ACTA MATHEMATICA HUNGARICA | 2019年 / 159卷 / 01期
关键词：
Crump-Mode-Jagers process; Burkholder-Rosenthal nequality; renewal equation; evolving random graph; maximal degree; GROWTH;
D O I：
10.1007/s10474-019-00976-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give sufficient conditions for a Crump-Mode-Jagers processto 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 samerate of increase as the degree process of a fixed vertex.
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页码：131 / 149
页数：19
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