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.
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
