A large deviation for occupation time of critical branching α-stable process

被引：1
作者：
Li QiuYue [2 ]
Ren YanXia [1 ]
机构：
[1] Peking Univ, Ctr Stat Sci, LMAM Sch Math Sci, Beijing 100871, Peoples R China
[2] China Agr Univ, Coll Sci, Beijing 100083, Peoples R China
来源：
SCIENCE CHINA-MATHEMATICS | 2011年 / 54卷 / 07期
基金：
中国国家自然科学基金;
关键词：
large deviation; critical branching alpha-stable process; occupation time; LONG-RANGE DEPENDENCE; SUPER-BROWNIAN MOTION; LIMIT-THEOREMS; LARGE DIMENSIONS; FLUCTUATIONS; SYSTEMS; GAUGEABILITY;
D O I：
10.1007/s11425-011-4209-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we establish a large deviation principle for the occupation times of critical branching alpha-stable processes for large dimensions d > 2 alpha, by investigating two related nonlinear differential equations. Our result is an extension of Cox and Griffeath's (in 1985) for branching Brownian motion for d > 4.
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页码：1445 / 1456
页数：12
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