A limit theorem at the edge of a non-Hermitian random matrix ensemble

Journal of Physics A: Mathematical and General

Volumn 36, Issue 12 SPEC. ISS., 2003, Pages 3401-3409

  Rider, B ^a  

^a DUKE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0242266501     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/36/12/331     Document Type: Article

References (15)

1. Bai Z D 1997 Circular law Ann. Probab. 25 494-529
2. Bai Z D and Silverstein J 1999 Exact separation of eigenvalues of large- dimensional sample covariance matrices Ann. Probab. 27 1536-55
3. Bai Z D and Yin Y 1988 Necessary and sufficient conditions for the almost sure convergence of the largest eigenvalue of a Wigner matrix Ann. Probab. 16 1729-41
4. Bhattacharya R N and Ranga Rao R 1976 Normal Approximation and Asymptotic Expansions (New York: Wiley)
5. Edelman A 1997 The probability that a random real Gaussian matrix has k real eigenvalues, related distributions, and the circular law J. Multivariate Anal. 60 203-32
6. Forrester P J and Honner G 1999 Exact statistical properties of the zeroes of complex Gaussian random polynomials J. Phys. A: Math. Gen. 32 2961-81
7. Geman S 1986 The spectral radius of large random matrices Ann. Probab. 14 1318-28
8. Ginibre J 1965 Statistical ensembles of complex, quaternion, and real matrices J. Math. Phys. 6 440-9
9. Hwang C-R 1986 A Brief Survey on the Spectral Distribution of Large Random Matrices with i.i.d. Entries (Contemp. Math., vol 50) (Providence, RI: American Mathematical Society) pp 145-52
10. Johnstone I 2001 On the distribution of the largest eigenvalue in principal components analysis Ann. Statist. 29 295-327
11. Mehta M L 1991 Random Matrices 2nd edn (Boston: Academic)
12. Soshnikov A 1998 Universality at the edge of the spectrum in Wigner random matrices Commun, Math. Phys. 207 697-733
13. Tracy C and Widom H 1994 Level-spacing distributions and the Airy kernel Commun. Math. Phys. 159 151-74
14. Tracy C and Widom H 1996 On orthogonal and symplectic matrix esembles Commun. Math. Phys. 177 727-54
15. Fyodorov Y V, Sommers H J and Khoruzhenko B 2000 Universality in the random matrix spectra of weak non-Hermiticity Ann Ins. Henri Poincare A 68 449-88