国家自然科学基金(s10871103)

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Regularity of the Density for the Total Weighted Occupation Measure of Super-Brownain Motion
《Acta Mathematica Sinica,English Series》2011年第8期1557-1572,共16页Rong Li LIU 
Supported by National Natural Science Foundation of China （Grant Nos. 10871103 and 10971003）
Let （Xt） be a super-Brownian motion in a bounded domain D in R^d. The random measure Y^D（.） = ∫o^∞ Xt（.）dt is called the total weighted occupation time of （Xt）. We consider the regularity properties for the ...
关键词：SUPERPROCESSES Poisson point processes REGULARITY total weighted occupation time 
A large deviation for occupation time of critical branching α-stable process
《Science China Mathematics》2011年第7期1445-1456,共12页LI QiuYue REN YanXia 
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...
关键词：large deviation critical branching α-stable process occupation time 
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