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On Universality for Orthogonal Ensembles of Random Matrices

โœ Scribed by M. Shcherbina


Publisher
Springer
Year
2008
Tongue
English
Weight
292 KB
Volume
285
Category
Article
ISSN
0010-3616

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On the universality of the level spacing
โœ L. A. Pastur ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› Springer ๐ŸŒ English โš– 274 KB

We prove that the level spacing distribution at the middle of the spectrum of some one-parameter family of random matrix ensembles has the universal form coinciding with that previously known for several special ensembles. We also discuss some related topics of the random matrix theory.