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Volumn 22, Issue 2, 2006, Pages 297-312

On the spectral distribution of Gaussian random matrices

Author keywords

Convergence rate; Empirical spectral distribution; Random matrices; Wigner distribution

Indexed keywords


EID: 33645661531     PISSN: 01689673     EISSN: 16183932     Source Type: Journal    
DOI: 10.1007/s10255-006-0306-7     Document Type: Article
Times cited : (3)

References (20)
  • 1
    • 0031534271 scopus 로고    scopus 로고
    • Circular law
    • Bai, Z.D. Circular law. Ann. Probab., 25: 494-529 (1997)
    • (1997) Ann. Probab. , vol.25 , pp. 494-529
    • Bai, Z.D.1
  • 2
    • 0347989448 scopus 로고    scopus 로고
    • Methodologies in spectral analysis of large dimensional random matrices. A review
    • Bai, Z.D. Methodologies in spectral analysis of large dimensional random matrices. A review. Statistica Sinica, 9: 611-677 (1998)
    • (1998) Statistica Sinica , vol.9 , pp. 611-677
    • Bai, Z.D.1
  • 3
    • 0242323254 scopus 로고    scopus 로고
    • Convergence rate of the spectral distribution of large Wigner matrices
    • Bai, Z.D., Miao, B.Q., Tsay, Jhishen. Convergence rate of the spectral distribution of large Wigner matrices. Internationa/ Mathematical J., 1: 65-90 (2001)
    • (2001) International Mathematical J. , vol.1 , pp. 65-90
    • Bai, Z.D.1    Miao, B.Q.2    Tsay, J.3
  • 4
    • 33645671934 scopus 로고    scopus 로고
    • On the convergence of the spectral empirical process of Wigner matrices
    • Bai, Z.D., Yao, J.F. On the convergence of the spectral empirical process of Wigner matrices. Bernoulli, 11(6): 1059-1092 (2005)
    • (2005) Bernoulli , vol.11 , Issue.6 , pp. 1059-1092
    • Bai, Z.D.1    Yao, J.F.2
  • 5
    • 0002542182 scopus 로고
    • Gaussian fluctuations in random matrices
    • Costin, O., Lebowitz, J. Gaussian fluctuations in random matrices. Phys. Rev. Jett., 75: 69-72 (1995)
    • (1995) Phys. Rev. Jett. , vol.75 , pp. 69-72
    • Costin, O.1    Lebowitz, J.2
  • 7
    • 23044525294 scopus 로고    scopus 로고
    • Linear functionals of eigenvalues of random matrices
    • Diaconis, P., Evans, S.N. Linear functionals of eigenvalues of random matrices Trans. Amer. Math. Soc., 353(7): 2615-2633 (2001)
    • (2001) Trans. Amer. Math. Soc. , vol.353 , Issue.7 , pp. 2615-2633
    • Diaconis, P.1    Evans, S.N.2
  • 9
    • 0042224901 scopus 로고    scopus 로고
    • Some refinements of Wigner's semi-circle law for Gaussian random matrices using superanalyis
    • Inoue, A., Nomura, Y. Some refinements of Wigner's semi-circle law for Gaussian random matrices using superanalyis. Asymptotic Analysis, 23: 329-375 (2000)
    • (2000) Asymptotic Analysis , vol.23 , pp. 329-375
    • Inoue, A.1    Nomura, Y.2
  • 10
    • 0001459956 scopus 로고    scopus 로고
    • On fluctuations of eigenvalues of random hermitian matrices
    • Johansson, K. On fluctuations of eigenvalues of random hermitian matrices. Duke Mathematical J., 91: 151-204 (1998)
    • (1998) Duke Mathematical J. , vol.91 , pp. 151-204
    • Johansson, K.1
  • 11
    • 0000263234 scopus 로고
    • Distribution of eigenvalues for some sets of random matrices
    • Marčenko, V.A., Pastur, L.A. Distribution of eigenvalues for some sets of random matrices. Math. USSR-Sb, 1: 457-483 (1967)
    • (1967) Math. USSR-Sb , vol.1 , pp. 457-483
    • Marčenko, V.A.1    Pastur, L.A.2
  • 13
    • 33645666663 scopus 로고
    • Colloquium Publ. 23, American Mathematical Society, New York
    • Szegö G. Orthogonal polynomials. Colloquium Publ. 23, American Mathematical Society, New York, 1959
    • (1959) Orthogonal Polynomials
    • Szegö, G.1
  • 14
    • 0001559529 scopus 로고
    • Sur les valeurs asymtotiques des polynmes d'Hermite
    • Plancherel, M., Rotach W. Sur les valeurs asymtotiques des polynmes d'Hermite. Comm. Math. Helv., 1: 227-254 (1929)
    • (1929) Comm. Math. Helv. , vol.1 , pp. 227-254
    • Plancherel, M.1    Rotach, W.2
  • 15
    • 0035995573 scopus 로고    scopus 로고
    • Gaussian limit for determinantal random point fields
    • Soshnikov, A. Gaussian limit for determinantal random point fields. Ann. Probab., 30: 171-187 (2002)
    • (2002) Ann. Probab. , vol.30 , pp. 171-187
    • Soshnikov, A.1
  • 16
    • 0034338426 scopus 로고    scopus 로고
    • Gaussian fluctuation for the number of particles in Airy, Bessel, sine, and other determinantal random point fields
    • Soshnikov, A. Gaussian fluctuation for the number of particles in Airy, Bessel, sine, and other determinantal random point fields. J. Statist. Phys., 100: 491-522 (2000)
    • (2000) J. Statist. Phys. , vol.100 , pp. 491-522
    • Soshnikov, A.1
  • 17
    • 0036628140 scopus 로고    scopus 로고
    • Eigenvalue distributions of random unitary matrices
    • Wieand, K. Eigenvalue distributions of random unitary matrices. Probab. Theory Related Fields, 123: 202-224 (2002)
    • (2002) Probab. Theory Related Fields , vol.123 , pp. 202-224
    • Wieand, K.1
  • 18
    • 0000840166 scopus 로고
    • Characteristic vectors bordered matrices with infinite dimensions
    • Wigner, E.P. Characteristic vectors bordered matrices with infinite dimensions. Ann. of Math., 62: 548-564 (1955)
    • (1955) Ann. of Math. , vol.62 , pp. 548-564
    • Wigner, E.P.1
  • 19
    • 0001560594 scopus 로고
    • On the distributions of the roots of certain symmetric matrices
    • Wigner, E.P. On the distributions of the roots of certain symmetric matrices. Ann. Math., 67: 325-327 (1958)
    • (1958) Ann. Math. , vol.67 , pp. 325-327
    • Wigner, E.P.1
  • 20
    • 0038497873 scopus 로고
    • Distribution laws for the roots of a random Hermitian matrix
    • C.E. Porter ed. Academic Press
    • Wigner E.P. Distribution laws for the roots of a random Hermitian matrix. In : Statistical theory of spectra: Fluctuations, C.E. Porter ed. Academic Press, ???? 1965, 446-461
    • (1965) Statistical Theory of Spectra: Fluctuations , pp. 446-461
    • Wigner, E.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.