supported by National Science Foundation of US (Grant Nos. DMS-0805929 and DMS-1106938);National Natural Science Foundation of China (Grant Nos. 10928103,10971003 and 11128101);Specialized Research Fund for the Doctoral Program of Higher Education of China;the Fundamental Research Funds for the Central Universities
We consider the small value probability of supercritical continuous state branching processes with immigration. From Pinsky (1972) it is known that under regularity condition on the branching mechanism and immigrati...
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
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. Ou...