1.
Phys Rev E Stat Nonlin Soft Matter Phys
; 76(5 Pt 1): 051105, 2007 Nov.
Artigo
em Inglês
| MEDLINE
| ID: mdl-18233621
RESUMO
We consider a class of rotationally invariant unitary random matrix ensembles where the eigenvalue density falls off as an inverse power law. Under a scaling appropriate for such power-law densities (different from the scaling required in Gaussian random matrix ensembles), we calculate exactly the two-level kernel that determines all eigenvalue correlations. We show that such ensembles belong to the class of critical ensembles.