Level Spacing Distributions of Random Matrix Ensembles
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概要
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A formalism of nearest-neighbor spacing distribution is presented for the random matrix ensembles related to general orthogonal polynomials. We show that the spacing distributions are derived from certain integral equations written in terms of the corresponding orthogonal or skew orthogonal polynomials. By using the formalism the universality of the spacing distribution is proved in special cases related to classical orthogonal polynomials.
- 社団法人日本物理学会の論文
- 1993-07-15
著者
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Miki Wadati
Department Of Physics Graduate School Of Science University Of Tokyo
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Wadati M
Univ. Tokyo
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Wadati Miki
Department Of Physics Graduate School Science University Of Tokyo
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NAGAO Taro
Department of Physics,Graduate School of Science,Osaka University
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Nagao T
Gunma Univ. Gunma
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Shiroishi Masahiro
Department Of Physics Faculty Of Science University Of Tokyo
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Wadati Miki
Department Of Physics Faculty Of Science Tokyo University Of Science
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Nagao Taro
Department Of Physics Faculty Of Science Osaka University
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