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Volumn 90, Issue 5-6, 1998, Pages 1449-1459

A factorization of determinant related to some random matrices

Author keywords

Factorization; Orthogonal polynomials; Random matrix (GUE); Scattering problem; Semicircle law

Indexed keywords


EID: 0041175659     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1023252000178     Document Type: Article
Times cited : (2)

References (9)
  • 1
    • 33646859849 scopus 로고
    • Quantum field theory techniques in graphical enumeration
    • D. Bessis, C. Itzykson, and J. B. Zuber, Quantum field theory techniques in graphical enumeration, Adv. Applied Math. 1:109-157 (1980).
    • (1980) Adv. Applied Math. , vol.1 , pp. 109-157
    • Bessis, D.1    Itzykson, C.2    Zuber, J.B.3
  • 3
    • 21844514187 scopus 로고
    • Absolute summability of the trace relation for certain Schrödinger operators
    • F. Gesztesy, H. Holden, and B. Simon, Absolute summability of the trace relation for certain Schrödinger operators, Commun. Math. Phys. 168:137-161 (1995).
    • (1995) Commun. Math. Phys. , vol.168 , pp. 137-161
    • Gesztesy, F.1    Holden, H.2    Simon, B.3
  • 6
    • 21844525907 scopus 로고
    • On the statistical mechanics approach in the random matrix theory: Integrated density of states
    • A. Boutet de Monvel, L. Pastur, and M. Shcherbina, On the statistical mechanics approach in the random matrix theory: Integrated density of states, in J. of Stat. Phys., Vol. 79, Nos. 3/4, 1995.
    • (1995) J. of Stat. Phys. , vol.79 , Issue.3-4
    • Boutet De Monvel, A.1    Pastur, L.2    Shcherbina, M.3
  • 8
    • 0004073954 scopus 로고
    • American Mathematical Society, New York
    • G. Szegö, Orthogonal Polynomials, (American Mathematical Society, New York 1959).
    • (1959) Orthogonal Polynomials
    • Szegö, G.1
  • 9
    • 0000649044 scopus 로고
    • Introduction to random matrices
    • Springer-Verlag
    • C. A. Tracy and H. Widom, Introduction to Random Matrices, Lecture Notes in Physics, Vol. 424, (Springer-Verlag 1993), pp. 103-130.
    • (1993) Lecture Notes in Physics , vol.424 , pp. 103-130
    • Tracy, C.A.1    Widom, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.