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Volumn 47, Issue 2, 2003, Pages 323-330

Rate of convergence to the semicircular law for the Gaussian unitary ensemble

Author keywords

Independent random variables; Random matrix; Spectral distribution

Indexed keywords


EID: 18844471308     PISSN: 0040585X     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0040585X97979755     Document Type: Article
Times cited : (11)

References (14)
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  • 2
    • 0347989448 scopus 로고    scopus 로고
    • Methodologies in spectral analysis of large dimensional random matrices, a review
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    • (1999) Statist. Sinica , vol.9 , pp. 611-677
    • Bai, Z.D.1
  • 3
    • 0033465449 scopus 로고    scopus 로고
    • Remarks on the convergence rate of the spectral distributions of Wigner matrices
    • Z. D. BAI, Remarks on the convergence rate of the spectral distributions of Wigner matrices, J. Theoret. Probab., 12 (1999), pp. 301-311.
    • (1999) J. Theoret. Probab. , vol.12 , pp. 301-311
    • Bai, Z.D.1
  • 4
    • 0037740697 scopus 로고
    • Asymptotic solutions of differential equations with transition points or singularities
    • A. ERDÉLYI, Asymptotic solutions of differential equations with transition points or singularities, J. Math. Phys., 1 (1960), pp. 16-26.
    • (1960) J. Math. Phys. , vol.1 , pp. 16-26
    • Erdélyi, A.1
  • 5
    • 0038078212 scopus 로고
    • Vishcha Shkola, Kiev, in Russian
    • V. L. GIRKO, Random Matrices, Vishcha Shkola, Kiev, 1975 (in Russian).
    • (1975) Random Matrices
    • Girko, V.L.1
  • 7
    • 0037740698 scopus 로고
    • Asymptotics of the distribution of eigenvalues of random symmetrical matrices
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  • 11
    • 84966199153 scopus 로고
    • Mean convergence of Hermite and Laguerre series
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    • (1970) I, II, Trans. Amer. Math. Soc. , vol.147 , pp. 419-431
    • Muckenhoupt, B.1
  • 12
    • 84933364737 scopus 로고
    • Spectra of random self-adjoint operators
    • L. A. PASTUR, Spectra of random self-adjoint operators, Russian Math. Surveys, 28 (1973), pp. 1-67.
    • (1973) Russian Math. Surveys , vol.28 , pp. 1-67
    • Pastur, L.A.1
  • 13
    • 0000840166 scopus 로고
    • Characteristic vectors of bordered matrices with infinite dimensions
    • E. P. WIGNER, Characteristic vectors of bordered matrices with infinite dimensions, Ann. Math., 62 (1955), pp. 548-564.
    • (1955) Ann. Math. , vol.62 , pp. 548-564
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  • 14
    • 0001560594 scopus 로고
    • On the distribution of the roots of certain symmetric matrices
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    • Wigner, E.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.