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	Some properties of superprocesses conditioned on non-extinction
	Liu RongLi ; Ren YanXia
	2009
关键词	conditioned superprocess h-transform occupation time local extinct SPATIAL BRANCHING-PROCESSES DISTRIBUTIONS TIME
英文摘要	We simply call a superprocess conditioned on non-extinction a conditioned superprocess. In this study, we investigate some properties of the conditioned superprocesses (subcritical or critical). Firstly, we give an equivalent description of the probability of the event that the total occupation time measure on a compact set is finite and some applications of this equivalent description. Our results are extensions of those of Krone (1995) from particular branching mechanisms to general branching mechanisms. We also prove a claim of Krone for the cases of d = 3, 4. Secondly, we study the local extinction property of the conditioned binary super-Brownian motion {X(t), P(mu)(infinity)}. When d = 1, as t goes to infinity, X(t)/root t converges eta lambda in weak sense under P(mu)(infinity), where eta is a nonnegative random variable and lambda is the Lebesgue measure on R. When d >= 2, the conditioned binary super-Brownian motion is locally extinct under P(mu)(infinity).; Mathematics, Applied; Mathematics; SCI(E); 1; ARTICLE; 4; 771-784; 52
语种	英语
出处	SCI
出版者	science in china series a mathematics
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157729]
专题	数学科学学院
推荐引用方式 GB/T 7714	Liu RongLi,Ren YanXia. Some properties of superprocesses conditioned on non-extinction. 2009-01-01.

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