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Volumn 47, Issue 2, 2006, Pages

Asymptotic form of the density profile for Gaussian and Laguerre random matrix ensembles with orthogonal and symplectic symmetry

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EID: 33644625299     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2165254     Document Type: Article
Times cited : (49)

References (17)
  • 1
    • 0034339813 scopus 로고    scopus 로고
    • Classical skew orthogonal polynomials and random matrices
    • Adler, M., Forrester, P. J., Nagao, T., and van Moerbeke, P., " Classical skew orthogonal polynomials and random matrices., " J. Stat. Phys. 99, 141-170 (2000).
    • (2000) J. Stat. Phys. , vol.99 , pp. 141-170
    • Adler, M.1    Forrester, P.J.2    Nagao, T.3    Van Moerbeke, P.4
  • 2
    • 2342643338 scopus 로고
    • Asymptotic corrections to the Wigner semicircular eigenvalue spectrum of a large real symmetric random matrix using the replica method
    • Dhesi, G. S. and Jones, R. C., " Asymptotic corrections to the Wigner semicircular eigenvalue spectrum of a large real symmetric random matrix using the replica method., " J. Phys. A 23, 5577-5599 (1990).
    • (1990) J. Phys. A , vol.23 , pp. 5577-5599
    • Dhesi, G.S.1    Jones, R.C.2
  • 3
    • 0141913605 scopus 로고
    • Statistical theory of energy levels of complex systems II
    • Dyson, F. J., " Statistical theory of energy levels of complex systems II., " J. Math. Phys. 3, 157-165 (1962).
    • (1962) J. Math. Phys. , vol.3 , pp. 157-165
    • Dyson, F.J.1
  • 4
    • 84858562601 scopus 로고    scopus 로고
    • Forrester, P. J., Log-gases and random matrices. www.ms.unimelb.edu.au/ ~matpjf/matpjf.html
    • Forrester, P.J.1
  • 5
    • 0000609652 scopus 로고
    • The spectrum edge of random matrix ensembles
    • Forrester, P. J., " The spectrum edge of random matrix ensembles., " Nucl. Phys. B 402, 709-728 (1993).
    • (1993) Nucl. Phys. B , vol.402 , pp. 709-728
    • Forrester, P.J.1
  • 6
    • 0033516823 scopus 로고    scopus 로고
    • Correlations for the orthogonal-unitary and symplectic-unitary transitions at the hard and soft edges
    • Forrester, P. J., Nagao, T., and Honner, G., " Correlations for the orthogonal-unitary and symplectic-unitary transitions at the hard and soft edges., " Nucl. Phys. B 553, 601-643 (1999).
    • (1999) Nucl. Phys. B , vol.553 , pp. 601-643
    • Forrester, P.J.1    Nagao, T.2    Honner, G.3
  • 7
    • 27844544290 scopus 로고    scopus 로고
    • Asymptotic corrections to the eigenvalue density of the GUE and LUE
    • Garoni, T. M., Forrester, P. J., and Frankel, N. E., " Asymptotic corrections to the eigenvalue density of the GUE and LUE., " J. Math. Phys. 46, 103301 (2005).
    • (2005) J. Math. Phys. , vol.46 , pp. 103301
    • Garoni, T.M.1    Forrester, P.J.2    Frankel, N.E.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, 151-204 (1998).
    • (1998) Duke Math. J. , vol.91 , pp. 151-204
    • Johansson, K.1
  • 9
    • 0042381826 scopus 로고    scopus 로고
    • Exact density of states for finite Gaussian random matrix ensembles via supersymmetry
    • Kalisch, F. and Braak, D., " Exact density of states for finite Gaussian random matrix ensembles via supersymmetry., " J. Phys. A 35, 9957-9969 (2002).
    • (2002) J. Phys. A , vol.35 , pp. 9957-9969
    • Kalisch, F.1    Braak, D.2
  • 10
    • 27844508159 scopus 로고
    • Asymptotische Entwicklungen der Laguerreschen Polynome
    • Moecklin, E., " Asymptotische Entwicklungen der Laguerreschen Polynome., " Comment. Math. Helv. 7, 24-46 (1934).
    • (1934) Comment. Math. Helv. , vol.7 , pp. 24-46
    • Moecklin, E.1
  • 11
    • 0001422694 scopus 로고
    • Asymptotic correlations at the spectrum edge of random matrices
    • Nagao, T. and Forrester, P. J., " Asymptotic correlations at the spectrum edge of random matrices., " Nucl. Phys. B 435, 401-420 (1995).
    • (1995) Nucl. Phys. B , vol.435 , pp. 401-420
    • Nagao, T.1    Forrester, P.J.2
  • 13
    • 0001559529 scopus 로고
    • Sur les valeurs asymptotiques des polynomes d'Hermite
    • Plancherel, M. and Rotach, W., " Sur les valeurs asymptotiques des polynomes d'Hermite., " Comment. Math. Helv. 1, 227-254 (1929).
    • (1929) Comment. Math. Helv. , vol.1 , pp. 227-254
    • Plancherel, M.1    Rotach, W.2
  • 15
    • 0004073954 scopus 로고
    • 4th ed. (American Mathematical Society, Providence, RI
    • Szegö, G., Orthogonal Polynomials, 4th ed. (American Mathematical Society, Providence, RI, 1975).
    • (1975) Orthogonal Polynomials
    • Szegö, G.1
  • 16
    • 0040104001 scopus 로고
    • Replica variables, loop expansion, and spectral rigidity of random-matrix ensembles
    • Verbaarschot, J. J. M. and Zirnbauer, M. R., " Replica variables, loop expansion, and spectral rigidity of random-matrix ensembles., " Ann. Phys. 158, 78-119 (1984).
    • (1984) Ann. Phys. , vol.158 , pp. 78-119
    • Verbaarschot, J.J.M.1    Zirnbauer, M.R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.