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Volumn 3, Issue 4, 2000, Pages 339-373

Universality in orthogonal and symplectic invariant matrix models with quartic potential

Author keywords

Correlation function; Eigenvalues; Orthogonal polynomials; Random matrices; Universality conjecture

Indexed keywords


EID: 33745536870     PISSN: 13850172     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1011457714198     Document Type: Article
Times cited : (19)

References (17)
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    • 0004245694 scopus 로고
    • Abramowitz, M. and Stegun, I. A. (eds): Dover, New York
    • Abramowitz, M. and Stegun, I. A. (eds): Handbook of Mathematical Functions, Dover, New York, 1968.
    • (1968) Handbook of Mathematical Functions
  • 2
    • 0033244830 scopus 로고    scopus 로고
    • Semi-classical asymptotics of orthogonal polynomials, Riemann-Hilbert problem and universality in the matrix model
    • Bleher, P. and Its, A.: Semi-classical asymptotics of orthogonal polynomials, Riemann-Hilbert problem and universality in the matrix model, Ann. of Math. 150 (1999), 185-266.
    • (1999) Ann. of Math. , vol.150 , pp. 185-266
    • Bleher, P.1    Its, A.2
  • 4
    • 21844525907 scopus 로고
    • On the statistical mechanics approach to the random matrix theory: The integrated density of states
    • Boutet de Monvel, A., Pastur, L. and Shcherbina, M.: On the statistical mechanics approach to the random matrix theory: the integrated density of states, J. Statist. Phys. 79 (1995), 585-611.
    • (1995) J. Statist. Phys. , vol.79 , pp. 585-611
    • Boutet De Monvel, A.1    Pastur, L.2    Shcherbina, M.3
  • 7
    • 0033516823 scopus 로고    scopus 로고
    • Correlations for the orthogonal-unitary and symplectic-unitary transitions at the hard and soft edges
    • [PM]
    • Forrester, P. J., Nagao, T. and Honner, G.: Correlations for the orthogonal-unitary and symplectic-unitary transitions at the hard and soft edges, Nuclear Phys. B 553 [PM] (1999), 601-643.
    • (1999) Nuclear Phys. B , vol.553 , pp. 601-643
    • Forrester, P.J.1    Nagao, T.2    Honner, G.3
  • 8
    • 0001459956 scopus 로고    scopus 로고
    • On fluctuation of eigenvalues of random Hermitian matrices
    • Johansson, K.: On fluctuation of eigenvalues of random Hermitian matrices, Duke Math. J. 91 (1998), 151-204.
    • (1998) Duke Math. J. , vol.91 , pp. 151-204
    • Johansson, K.1
  • 12
    • 0030684834 scopus 로고    scopus 로고
    • Universality of the local eigenvalue statistics for a class of unitary invariant random matrix ensembles
    • Pastur, L. and Shcherbina, M.: Universality of the local eigenvalue statistics for a class of unitary invariant random matrix ensembles, J. Statist. Phys. 86 (1997), 109-147.
    • (1997) J. Statist. Phys. , vol.86 , pp. 109-147
    • Pastur, L.1    Shcherbina, M.2
  • 15
    • 0030545965 scopus 로고    scopus 로고
    • Orthogonal and symplectic matrix ensembles
    • Tracy, C. A. and Widom, H.: Orthogonal and symplectic matrix ensembles, Comm. Math. Phys. 177 (1996), 727-754.
    • (1996) Comm. Math. Phys. , vol.177 , pp. 727-754
    • Tracy, C.A.1    Widom, H.2
  • 16
    • 0032163852 scopus 로고    scopus 로고
    • Correlation functions, cluster functions and spacing distributions for random matrices
    • Tracy, C. A. and Widom, H.: Correlation functions, cluster functions and spacing distributions for random matrices, J. Statist. Phys. 92 (1998), 809-835.
    • (1998) J. Statist. Phys. , vol.92 , pp. 809-835
    • Tracy, C.A.1    Widom, H.2
  • 17
    • 0033074163 scopus 로고    scopus 로고
    • On the relation between orthogonal, symplectic and unitary matrix ensembles
    • Widom, H.: On the relation between orthogonal, symplectic and unitary matrix ensembles, J. Statist. Phys. 94 (1999), 347-364.
    • (1999) J. Statist. Phys. , vol.94 , pp. 347-364
    • Widom, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.