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

作　　者：LI QiuYue REN YanXia 

机构地区：[1]College of Science, China Agricultural University, Beijing 100083, China [2]LMAM School of Mathematical Sciences, Center for Statistical Science, Peking University, Beijing 100871, China

出　　处：《Science China Mathematics》2011年第7期1445-1456,共12页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant Nos. 10971003 and 10926110);Chinese Universities Scientific Fund (Grant No. 2009-2-05);supported by National Natural Science Foundation of China (Grant Nos. 10871103 and 10971003);Specialized Research Fund for the Doctoral Program of Higher Education

摘　　要：In this paper we establish a large deviation principle for the occupation times of critical branching α-stable processes for large dimensions d > 2α, 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.In this paper we establish a large deviation principle for the occupation times of critical branching α-stable processes for large dimensions d 2α, 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.

关 键 词：large deviation critical branching α-stable process occupation time 

分 类 号：O212.6[理学—概率论与数理统计] TM727.2[理学—数学]