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Laguerre ensembles of random matrices: Nonuniversal correlation functions (1993)

Nagao, Taro ; Slevin, Keith

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 34 (1993), S. 2317-2330

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: The eigenvalue correlation functions of the Laguerre ensembles (exponential ensembles) of real symmetric and self-dual quaternion random matrices are calculated. It is shown that in certain intervals of the spectrum the renormalized correlations are not universal. A physical example in the transmission spectrum of a disordered conductor where such nonuniversality occurs is given.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.530118

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