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Refined evaluation of the level-spacing distribution of symplectic ensembles: Moments and implications

✍ Scribed by Gebremariam, Hailu; Einstein, T. L.


Book ID
126316996
Publisher
The American Physical Society
Year
2006
Tongue
English
Weight
61 KB
Volume
73
Category
Article
ISSN
1063-651X

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On the universality of the level spacing
✍ L. A. Pastur πŸ“‚ Article πŸ“… 1992 πŸ› Springer 🌐 English βš– 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.