메뉴 건너뛰기




Volumn 99, Issue 1-2, 2000, Pages 141-170

Classical skew orthogonal polynomials and random matrices

Author keywords

Correlation functions; Orthogonal polynomials; Random matrices

Indexed keywords


EID: 0034339813     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1018644606835     Document Type: Article
Times cited : (109)

References (17)
  • 1
    • 84974004673 scopus 로고
    • Matrix integrals, toda symmetries, virasoro constraints and orthogonal polynomials
    • M. Adler and P. van Moerbeke, Matrix integrals, Toda symmetries, Virasoro constraints and orthogonal polynomials. Duke Math. Journal 80:863-911 (1995).
    • (1995) Duke Math. Journal , vol.80 , pp. 863-911
    • Adler, M.1    Van Moerbeke, P.2
  • 4
    • 0001284329 scopus 로고
    • Multicritical points of unoriented random surfaces
    • E. Brézin and H. Neuberger, Multicritical points of unoriented random surfaces, Nucl. Phys. B 350:513 553 (1991).
    • (1991) Nucl. Phys. B , vol.350 , pp. 513-553
    • Brézin, E.1    Neuberger, H.2
  • 5
    • 0039430657 scopus 로고
    • Correlations between the eigenvalues of a random matrix
    • F. J. Dyson, Correlations between the eigenvalues of a random matrix, Commun. Math. Phys. 19:235-250 (1970).
    • (1970) Commun. Math. Phys. , vol.19 , pp. 235-250
    • Dyson, F.J.1
  • 6
    • 0033516823 scopus 로고    scopus 로고
    • Correlations for the orthogonal-unitary and symplectic-unitary transitions at the hard and soft edges
    • P. J. Forrester, T. Nagao, and G. Honner, 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
    • 0000530354 scopus 로고
    • Brownian motion ensembles and parametric correlations of the transmission eigenvalues: Applications to coupled quantum billiards and to disordered systems
    • K. Frahm and J. L. Pichard, Brownian motion ensembles and parametric correlations of the transmission eigenvalues: applications to coupled quantum billiards and to disordered systems, J. Phys. I (France) 5:877-906 (1995).
    • (1995) J. Phys. I (France) , vol.5 , pp. 877-906
    • Frahm, K.1    Pichard, J.L.2
  • 8
    • 0001564556 scopus 로고
    • A method of integration over matrix variables IV
    • G. Mahoux and M. L. Mehta, A method of integration over matrix variables IV, J. Physique I (France) 1:1093-1108 (1991).
    • (1991) J. Physique I (France) , vol.1 , pp. 1093-1108
    • Mahoux, G.1    Mehta, M.L.2
  • 9
    • 0004163930 scopus 로고
    • Academic Press, New York, 2nd ed.
    • M. L. Mehta, Random Matrices (Academic Press, New York, 2nd ed., 1991).
    • (1991) Random Matrices
    • Mehta, M.L.1
  • 11
    • 0001422694 scopus 로고
    • Asymptotic correlations at the spectrum edge of random matrices
    • T. Nagao and P. J. Forrester, 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
  • 12
    • 0032547606 scopus 로고    scopus 로고
    • Transitive ensembles of random matrices related to orthogonal polynomials
    • T. Nagao and P. J. Forrester, Transitive ensembles of random matrices related to orthogonal polynomials, Nucl. Phys. B 530:742 762 (1998).
    • (1998) Nucl. Phys. B , vol.530 , pp. 742-762
    • Nagao, T.1    Forrester, P.J.2
  • 13
    • 0000817750 scopus 로고
    • Correlation functions of random matrix ensembles related to classical orthogonal polynomials
    • T. Nagao and M. Wadati, Correlation functions of random matrix ensembles related to classical orthogonal polynomials. J. Phys. Soc. Japan 60:3298 3322 (1991); 61:78 88 (1992); 61:1910-1918 (1992).
    • (1991) J. Phys. Soc. Japan , vol.60 , pp. 3298-3322
    • Nagao, T.1    Wadati, M.2
  • 14
    • 0000817750 scopus 로고
    • T. Nagao and M. Wadati, Correlation functions of random matrix ensembles related to classical orthogonal polynomials. J. Phys. Soc. Japan 60:3298 3322 (1991); 61:78 88 (1992); 61:1910-1918 (1992).
    • (1992) J. Phys. Soc. Japan , vol.61 , pp. 78-88
  • 15
    • 0010028379 scopus 로고
    • T. Nagao and M. Wadati, Correlation functions of random matrix ensembles related to classical orthogonal polynomials. J. Phys. Soc. Japan 60:3298 3322 (1991); 61:78 88 (1992); 61:1910-1918 (1992).
    • (1992) J. Phys. Soc. Japan , vol.61 , pp. 1910-1918
  • 16
    • 0032163852 scopus 로고    scopus 로고
    • Correlation functions, cluster functions and spacing distributions in random matrices
    • C. A. Tracy and H. Widom, Correlation functions, cluster functions and spacing distributions in random matrices, J. Stat. Phys. 92:809 835 (1998).
    • (1998) J. Stat. 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 random matrices
    • H. Widom, On the relation between orthogonal, symplectic and unitary random matrices. J. Stat. Phys. 94:601 643 (1999).
    • (1999) J. Stat. Phys. , vol.94 , pp. 601-643
    • Widom, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.