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Nearest-neighbour spacing distributions of the β-Hermite ensemble of random matrices

✍ Scribed by G. Le Caër; C. Male; R. Delannay


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
472 KB
Volume
383
Category
Article
ISSN
0378-4371

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On the universality of the level spacing
✍ L. A. Pastur 📂 Article 📅 1992 🏛 Springer 🌐 English ⚖ 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.