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Volumn 4, Issue 3, 1996, Pages 283-302

Distribution of spacings of random matrices. Part I: The first Spacing Law for Gaussian Hermitian matrices.

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EID: 84867939672     PISSN: 09266364     EISSN: 1569397X     Source Type: Journal    
DOI: 10.1515/rose.1996.4.3.283     Document Type: Article
Times cited : (1)

References (19)
  • 1
    • 0003864328 scopus 로고
    • (A. Erdyeli, ed.), McGraw- Hill, New York
    • H. Bateman. Higher Transendental Functions. (A. Erdyeli, ed.) Vol. 1-3. McGraw- Hill, New York (1953-1955).
    • (1953) Higher Transendental Functions , vol.1-3
    • Bateman, H.1
  • 7
    • 0004163930 scopus 로고
    • San Diego:, Academic Press, New York, London
    • M. L. Mehta. Random Matrices. San Diego:, Academic Press, New York, London (1991).
    • (1991) Random Matrices
    • Mehta, M.L.1
  • 8
    • 0000597238 scopus 로고
    • On the universality of the level spacing distribution for some ensemble of random matrices
    • L.A. Pastur. On the universality of the level spacing distribution for some ensemble of random matrices, Lett. Math. Phys. 25,259-265(1992).
    • (1992) Lett. Math. Phys. , vol.25 , pp. 259-265
    • Pastur, L.A.1
  • 10
    • 0004073954 scopus 로고
    • American Mathematical Society, Providence, RI
    • G. Szego. Orthogonal Polynomials. American Mathematical Society, Providence, RI (1939).
    • (1939) Orthogonal Polynomials
    • Szego, G.1
  • 11
    • 27644532196 scopus 로고
    • Level spacing distributions and the Airy kernel
    • A. C. Tracy and H. Widom. Level spacing distributions and the Airy kernel, Commun. Math. Phys. 159, 151-174 (1994).
    • (1994) Commun. Math. Phys. , vol.159 , pp. 151-174
    • Tracy, A.C.1    Widom, H.2
  • 12
    • 0030545965 scopus 로고    scopus 로고
    • On orthogonal and Symplectic Matrix Ensembles
    • A. C. Tracy and H. Widom. On orthogonal and Symplectic Matrix Ensembles, Commun. Math. Phys. 177, 123-754 (1996).
    • (1996) Commun. Math. Phys. , vol.177 , pp. 123-754
    • Tracy, A.C.1    Widom, H.2
  • 13
    • 0342395256 scopus 로고    scopus 로고
    • Level spacing distributions and the Bessel kernel
    • A. C. Tracy and H. Widom. Level spacing distributions and the Bessel kernel, Commun. Math. Phys. 161, 289-309.
    • Commun. Math. Phys. , vol.161 , pp. 289-309
    • Tracy, A.C.1    Widom, H.2
  • 14
    • 0003025563 scopus 로고
    • Fredholm determinants, differential equations and matrix models
    • A. C. Tracy and H. Widom. Fredholm determinants, differential equations and matrix models, Commun. Math. Phys. 163, 33-72 (1994).
    • (1994) Commun. Math. Phys. , vol.163 , pp. 33-72
    • Tracy, A.C.1    Widom, H.2
  • 15
    • 0030545965 scopus 로고    scopus 로고
    • On orthogonal and Symplectic Matrix Ensembles
    • A. C. Tracy and H. Widom. On orthogonal and Symplectic Matrix Ensembles, Commun. Math. Phys. 177, 123-754 (1996).
    • (1996) Commun. Math. Phys. , vol.177 , pp. 123-754
    • Tracy, A.C.1    Widom, H.2
  • 16
    • 0001560594 scopus 로고
    • On the distribution of the roots of certain symmetric matrices
    • E. P. Wigner. On the distribution of the roots of certain symmetric matrices, Ann. Math. 67, 2, 325-327 (1958).
    • (1958) Ann. Math. , vol.67 , Issue.2 , pp. 325-327
    • Wigner, E.P.1
  • 17
    • 0003013212 scopus 로고
    • Statistical properties of real symmetric matrices with many dimensions
    • E. P. Wigner. Statistical properties of real symmetric matrices with many dimensions, Can. Math. Proc. 174-198 (1957).
    • (1957) Can. Math. Proc. , pp. 174-198
    • Wigner, E.P.1
  • 18
    • 0002478260 scopus 로고
    • Random matrices in physics
    • E. P. Wigner. Random matrices in physics, SI AM Rev. 9, 1, 1-23 (1967).
    • (1967) SI AM Rev. , vol.9 , Issue.1 , pp. 1-23
    • Wigner, E.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.