๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the 1/n Expansion for Some Unitary Invariant Ensembles of Random Matrices

โœ Scribed by S. Albeverio; L. Pastur; M. Shcherbina


Publisher
Springer
Year
2001
Tongue
English
Weight
226 KB
Volume
224
Category
Article
ISSN
0010-3616

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


On invariant 2ร—2 ฮฒ -ensembles of random
โœ Pierpaolo Vivo; Satya N. Majumdar ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 981 KB

We introduce and solve exactly a family of invariant 2 ร— 2 random matrices, depending on one parameter ฮท, and we show that rotational invariance and real Dyson index ฮฒ are not incompatible properties. The probability density for the entries contains a weight function and a multiple trace-trace inter

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.

A Stable Range for Dimensions of Homogen
โœ Jeb F Willenbring ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 153 KB

The complex orthogonal group O n acts on the n ร— n matrices, M n , by restricting the adjoint action of GL n . This action provides us with an action on the ring of complex valued polynomial functions on the n ร— n matrices, M n . The polynomials of degree d, denoted d M n , form a finite dimensiona