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Volumn 108, Issue 4, 1997, Pages 517-542

Large deviations for Wigner's law and Voiculescu's non-commutative entropy

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EID: 0031499009     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004400050119     Document Type: Article
Times cited : (319)

References (15)
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    • Arnold, L.: On the asymptotic distribution of the eigenvalues of random matrices. J. Math. Anal. Appl. 20, 262-268 (1967)
    • (1967) J. Math. Anal. Appl. , vol.20 , pp. 262-268
    • Arnold, L.1
  • 2
    • 0009128834 scopus 로고
    • Convergence rate of expected spectral distributions of large random matrices. Part I. Wigner matrices
    • Bai, Z. D.: Convergence rate of expected spectral distributions of large random matrices. Part I. Wigner Matrices. Annal. Probab. 21, No. 2, 625-648 (1993)
    • (1993) Annal. Probab. , vol.21 , Issue.2 , pp. 625-648
    • Bai, Z.D.1
  • 3
    • 0003769394 scopus 로고
    • Giannoni, M.J. Voros, A. Zinn-Justin J. (eds). North Holland; Amsterdam
    • Bohigas, O.: Chaos and Quantum Physics. Giannoni, M.J. Voros, A. Zinn-Justin J. (eds). North Holland; Amsterdam (1991)
    • (1991) Chaos and Quantum Physics
    • Bohigas, O.1
  • 4
    • 21344478192 scopus 로고
    • Large deviations for empirical measure with degenerate limiting distribution
    • Chan, T.: Large deviations for empirical measure with degenerate limiting distribution. Probability Theory and Related Fields, 97, 179-193 (1993)
    • (1993) Probability Theory and Related Fields , vol.97 , pp. 179-193
    • Chan, T.1
  • 8
    • 0002534477 scopus 로고
    • Where does the sup norm of a weighted polynomial live ? ( A generalization of incomplete polynomials)
    • Mhaskar, H. N., Saff, E. B.: Where does the sup norm of a weighted Polynomial live ? ( A generalization of Incomplete Polynomials) Constr. Approx. 1: 71-91 (1985)
    • (1985) Constr. Approx. , vol.1 , pp. 71-91
    • Mhaskar, H.N.1    Saff, E.B.2
  • 13
    • 0000215544 scopus 로고
    • Limit laws for random matrices and free products
    • Voiculescu, D.: Limit laws for random matrices and free products. Invent, math. 104, 201-220 (1991)
    • (1991) Invent. Math. , vol.104 , pp. 201-220
    • Voiculescu, D.1
  • 14
    • 21144462319 scopus 로고
    • The analogues of entropy and of Fisher's information measure in free probability theory, I
    • Voiculescu, D.: The analogues of entropy and of Fisher's information measure in free probability theory, I. Communications in mathematical physics, 155, 70-92 (1993)
    • (1993) Communications in Mathematical Physics , vol.155 , pp. 70-92
    • Voiculescu, D.1
  • 15
    • 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. of Math., 67, 325-327 (1958)
    • (1958) Ann. of Math. , vol.67 , pp. 325-327
    • Wigner, E.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.