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	Central limit theorems for supercritical branching Markov processes
	Ren, Yan-Xia ; Song, Renming ; Zhang, Rui
	2014
关键词	Central limit theorem Branching Markov process Supercritical Martingale Eigenfunction expansion OCCUPATION TIME FLUCTUATIONS GALTON-WATSON PROCESSES LARGE NUMBERS STABLE PROCESSES STRONG LAW SUPERDIFFUSIONS SYSTEMS ULTRACONTRACTIVITY CONVERGENCE DIFFUSIONS
英文摘要	In this paper we establish spatial central limit theorems for a large class of supercritical branching Markov processes with general spatial-dependent branching mechanisms. These are generalizations of the spatial central limit theorems proved in [1] for branching OU processes with binary branching mechanisms. Compared with the results of [1], our central limit theorems are more satisfactory in the sense that the normal random variables in our theorems are non-degenerate. (C) 2013 Elsevier Inc. All rights reserved.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000330253600022&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics; SCI(E); 2; ARTICLE; yxren@math.pku.edu.cn; rsong@math.uiuc.edu; ruizhang8197@gmail.com; 3; 1716-1756; 266
语种	英语
出处	SCI
出版者	journal of functional analysis
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157424]
专题	数学科学学院
推荐引用方式 GB/T 7714	Ren, Yan-Xia,Song, Renming,Zhang, Rui. Central limit theorems for supercritical branching Markov processes. 2014-01-01.

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