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	Functional Central Limit Theorems for Supercritical Superprocesses
	Ren, Yan-Xia ; Song, Renming ; Zhang, Rui
	2017
关键词	Functional central limit theorem Supercritical superprocess Excursion measures of superprocesses MARKOV BRANCHING-PROCESSES OCCUPATION TIME FLUCTUATIONS GALTON-WATSON PROCESSES DIFFERENTIAL-EQUATIONS PARTICLE SYSTEM IMMIGRATION
英文摘要	In this paper, we establish some functional central limit theorems for a large class of general supercritical superprocesses with spatially dependent branching mechanisms satisfying a second moment condition. In the particular case when the state is a finite set and the underlying motion is an irreducible Markov chain on , our results are superprocess analogs of the functional central limit theorems of Janson (Stoch. Process. Appl. 110:177-245, 2004) for supercritical multitype branching processes. The results of this paper are refinements of the central limit theorems in Ren et al. (Stoch. Process. Appl. 125:428-457, 2015).; NSFC [11271030, 11128101]; Specialized Research Fund for the Doctoral Program of Higher Education; Simons Foundation [208236]; SCI(E); ARTICLE; 1; 137-175; 147
语种	英语
出处	SCI
出版者	ACTA APPLICANDAE MATHEMATICAE
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/475529]
专题	数学科学学院
推荐引用方式 GB/T 7714	Ren, Yan-Xia,Song, Renming,Zhang, Rui. Functional Central Limit Theorems for Supercritical Superprocesses. 2017-01-01.

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