On the universality of the level spacing distribution for some ensembles of random matrices

✍ Scribed by L. A. Pastur

• Publisher: Springer
• Year: 1992
• Tongue: English
• Weight: 274 KB
• Volume: 25
• Category: Article
• ISSN: 0377-9017
• DOI: 10.1007/bf00398398

✦ Synopsis

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.