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Level density and level-spacing distributions of random, self-adjoint, non-Hermitian matrices

✍ Scribed by Joglekar, Yogesh N.; Karr, William A.


Book ID
126598883
Publisher
The American Physical Society
Year
2011
Tongue
English
Weight
426 KB
Volume
83
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.