Power-law eigenvalue density, scaling, and critical random-matrix ensembles
نویسندگان
چکیده
منابع مشابه
Power-law eigenvalue density, scaling, and critical random-matrix ensembles.
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 t...
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ژورنال
عنوان ژورنال: Physical Review E
سال: 2007
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.76.051105