Abbreviated Journal Title
Phys. Rev. E
Keywords
SPECTRAL STATISTICS; LEVY MATRICES; TRANSITION; MODELS; Physics, Fluids & Plasmas; Physics, Mathematical
Abstract
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.
Journal Title
Physical Review E
Volume
76
Issue/Number
5
Publication Date
1-1-2007
Document Type
Article
Language
English
First Page
5
WOS Identifier
ISSN
1539-3755
Recommended Citation
Muttalib, K. A. and Ismail, Mourand E. H., "Power-law eigenvalue density, scaling, and critical random-matrix ensembles" (2007). Faculty Bibliography 2000s. 7458.
https://stars.library.ucf.edu/facultybib2000/7458
Comments
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