A Quenched CLT for Super-Brownian Motion with Random Immigration

被引：0
作者：
Wenming Hong
Ofer Zeitouni
机构：
[1] Beijing Normal University,School of Mathematical Science
[2] University of Minnesota,Department of Mathematics
[3] Technion,Depts. of EE and Math.
来源：
Journal of Theoretical Probability | 2007年 / 20卷
关键词：
Super-Brownian motion; Quenched central limit theorem; Random immigration;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A quenched central limit theorem is derived for the super-Brownian motion with super-Brownian immigration, in dimension d≥4. At the critical dimension d=4, the quenched and annealed fluctuations are of the same order but are not equal.
引用
收藏
页码：807 / 820
页数：13
相关论文
共 17 条
[1]  
Dawson D.A.(2002)Non-local branching superprocesses and some related models Acta Appl. Math. 74 93-112
[2]  
Gorostiza L.G.(2002)Longtime behavior for the occupation time of super-Brownian motion with random immigration Stoch. Process. Appl. 102 43-62
[3]  
Li Z.H.(2003)Large deviations for the super-Brownian motion with super-Brownian immigration J. Theor. Probab. 16 899-922
[4]  
Hong W.M.(2005)Quenched mean limit theorems for the super-Brownian motion with super-Brownian immigration Infin. Dimens. Anal., Quantum Probab. Relat. Topics 8 383-396
[5]  
Hong W.M.(1999)A central limit theorem for the super-Brownian motion with super-Brownian immigration J. Appl. Probab. 36 1218-1224
[6]  
Hong W.M.(1986)A weighted occupation time for a class of measure-valued critical branching Brownian motion Probab. Theory Relat. Fields 71 85-116
[7]  
Hong W.M.(1993)Large deviations for occupation times of measure-valued branching Brownian motions Stoch. Stoch. Rep. 45 177-209
[8]  
Li Z.H.(1993)Some limit theorems for super-Brownian motion and semilinear differential equations Ann. Probab. 21 979-995
[9]  
Iscoe I.(1995)Large deviation for three dimensional super-Brownian motion Ann. Probab. 23 1755-1771
[10]  
Iscoe I.(2005)An almost sure invariance principle for random walks in a space-time random environment Probab. Theory Relat. Fields 133 299-314
12