RANDOM WALKS WITH HEAVY TAILS AND LIMIT THEOREMS FOR BRANCHING PROCESSES WITH MIGRATION AND IMMIGRATION

被引：6

作者：

Feng, Yaqin ^{[1
]}

Molchanov, Stanislav ^{[1
]}

Whitmeyer, Joseph ^{[1
]}

机构：

[1] Univ N Carolina, Dept Math & Stat, Charlotte, NC 28223 USA

来源：

STOCHASTICS AND DYNAMICS | 2012年 / 12卷 / 01期

关键词：

Heavy tails; branching process; limit theorems;

D O I：

10.1142/S0219493712003626

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The central result of this paper is the existence of limiting distributions for two classes of critical homogeneous-in-space branching processes with heavy tails spatial dynamics in dimension d = 2. In dimension d >= 3, the same results are true without any special assumptions on the underlying (non-degenerated) stochastic dynamics.

引用

页数：23

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