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	Some Universal Properties for Restricted Trace Gaussian Orthogonal, Unitary and Symplectic Ensembles
	Liu, Dang-Zheng ; Zhou, Da-Sheng
	2010
关键词	Fixed trace ensembles Bounded trace ensembles Universality RANDOM-MATRIX ENSEMBLES SUPPORT PROBABILITY-DISTRIBUTIONS SPECTRUM EDGE SUPERSYMMETRY ASYMPTOTICS POLYNOMIALS
英文摘要	Consider fixed and bounded trace Gaussian orthogonal, unitary and symplectic ensembles, closely related to Gaussian ensembles without any constraint. For three restricted trace Gaussian ensembles, we prove universal limits of correlation functions at zero and at the edge of the spectrum edge. Our argument also applies to restricted trace ensembles with monomial potentials. In addition, by using the universal result in the bulk for fixed trace Gaussian unitary ensemble, which has been obtained by Gotze and Gordin, we also prove the universal limits of correlation functions everywhere in the bulk for bounded trace Gaussian unitary ensemble.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000279085600003&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Physics, Mathematical; SCI(E); 1; ARTICLE; 2; 268-288; 140
语种	英语
出处	SCI
出版者	统计物理学杂志
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157666]
专题	数学科学学院
推荐引用方式 GB/T 7714	Liu, Dang-Zheng,Zhou, Da-Sheng. Some Universal Properties for Restricted Trace Gaussian Orthogonal, Unitary and Symplectic Ensembles. 2010-01-01.

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