Time-Dependent Orthogonal Polynomials and Theory of Soliton : Applications to Matrix Model, Vertex Model and Level Statistics
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概要
- 論文の詳細を見る
By introducing a time variable to the theory of orthogonal polynomials, partition functions of both the matrix model and the vertex model are shown to be described by the Toda molecule equation. In short, the soliton is at the center of orthogonal polynomials, the matrix model and the vertex model. The differential-difference Painleve equation appears in the case of pure gravity of the matrix model. An application to the random matrix theory of level statistics is also shown.
- 社団法人日本物理学会の論文
- 1993-06-15
著者
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Sogo Kiyoshi
Institute Of Computational Fluid Dynamics
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Sogo Kiyoshi
Institute For Nuclear Study University Of Tokyo
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