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	An almost sure scaling limit theorem for Dawson-Watanabe superprocesses
	Chen, Zhen-Qing ; Ren, Yan-Xia ; Wang, Hao
	2008
关键词	Dawson-Watanabe superprocess scaling limit theorem symmetric hunt process Dirichlet form symmetric diffusion symmetric Levy process Feller property Feller generator Feynman-Kac transform Schrodinger semigroup ground state spectral gap h-transform Ito&apos Martingale CONDITIONAL GAUGEABILITY MARKOV-PROCESSES DIRICHLET FORMS SUPERDIFFUSIONS s formula
英文摘要	We establish a scaling limit theorem for a large class of Dawson-Watanabe superprocesses whose underlying spatial motions are symmetric Hunt processes, where the convergence is in the sense of convergence in probability. When the underling process is a symmetric diffusion with C-b(1)-coefficients or a symmetric Levy process on R-d whose Levy exponent Psi(eta) is bounded from below by c vertical bar eta vertical bar(alpha) for some c > 0 and alpha is an element of (0, 2) when vertical bar eta vertical bar is large, a stronger almost sure limit theorem is established for the superprocess. Our approach uses the principal eigenvalue and the ground state for some associated Schrodinger operator. The limit theorems are established under the assumption that an associated Schrodinger operator has a spectral gap. (c) 2007 Published by Elsevier Inc.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000254806800008&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics; SCI(E); 10; ARTICLE; 7; 1988-2019; 254
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/20.500.11897/249148]
专题	数学科学学院
推荐引用方式 GB/T 7714	Chen, Zhen-Qing,Ren, Yan-Xia,Wang, Hao. An almost sure scaling limit theorem for Dawson-Watanabe superprocesses. 2008-01-01.

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