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.
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页数：23
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