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Volumn 5, Issue 4, 2009, Pages 396-433

On universality of bulk local regime of the deformed Gaussian unitary ensemble

Author keywords

Gaussian unitary ensemble; Random matrices; Universality

Indexed keywords


EID: 78149427668     PISSN: 18129471     EISSN: 18175805     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (21)

References (16)
  • 1
    • 0033440723 scopus 로고    scopus 로고
    • Uniform Asymptotics for Polynomials Orthogonal with Respect to Varying Exponential Weights and Applications to Universality Questions in Random Matrix Theory
    • P. Deift, T. Kriecherbauer, K. McLaughlin, S. Venakides, and X. Zhou, Uniform Asymptotics for Polynomials Orthogonal with Respect to Varying Exponential Weights and Applications to Universality Questions in Random Matrix Theory. - Commun. Pure Appl. Math. 52 (1999), 1335-1425.
    • (1999) Commun. Pure Appl. Math , vol.52 , pp. 1335-1425
    • Deift, P.1    Kriecherbauer, T.2    McLaughlin, K.3    Venakides, S.4    Zhou, X.5
  • 2
    • 0030684834 scopus 로고    scopus 로고
    • Universality of the Local Eigenvalue Statistics for a Class of Unitary Invariant Random Matrix Ensembles
    • L. Pastur and M. Shcherbina, Universality of the Local Eigenvalue Statistics for a Class of Unitary Invariant Random Matrix Ensembles. - J. Stat. Phys. 86 (1997), 109-147.
    • (1997) J. Stat. Phys , vol.86 , pp. 109-147
    • Pastur, L.1    Shcherbina, M.2
  • 3
    • 36649018694 scopus 로고    scopus 로고
    • Bulk Universality and Related Properties of Hermitian Matrix Model
    • L. Pastur and M. Shcherbina, Bulk Universality and Related Properties of Hermitian Matrix Model. - J. Stat. Phys. 130 (2007), No. 2, 205-250.
    • (2007) Stat. Phys , vol.130 , Issue.2 , pp. 205-250
    • Pastur, L.1    Shcherbina, M.2
  • 4
    • 0002728031 scopus 로고
    • The Spectrum of Random Matrices
    • Russian
    • L. Pastur, The Spectrum of Random Matrices. - Teoret. Mat. Fiz. 10 (1972), 102-112. (Russian)
    • (1972) Teoret. Mat. Fiz , vol.10 , pp. 102-112
    • Pastur, L.1
  • 6
    • 0030592669 scopus 로고    scopus 로고
    • Correlation of Nearby Levels Induced by a Random Potential
    • E. Brezin and S. Hikami, Correlation of Nearby Levels Induced by a Random Potential. - Nucl. Phys. B479 (1996), 697-706.
    • (1996) Nucl. Phys , vol.479 B , pp. 697-706
    • Brezin, E.1    Hikami, S.2
  • 7
    • 4243508492 scopus 로고    scopus 로고
    • Extension of Level-Spacing Universality
    • E. Brezin and S. Hikami, Extension of Level-Spacing Universality. - Phys. Rev. E 56 (1997), 264-269.
    • (1997) Phys. Rev. E , vol.56 , pp. 264-269
    • Brezin, E.1    Hikami, S.2
  • 8
    • 0010481023 scopus 로고    scopus 로고
    • Level Spacing of Random Matrices in an External Source
    • E. Brezin and S. Hikami, Level Spacing of Random Matrices in an External Source. - Phys. Rev. E 58 (1998), 7176-7185.
    • (1998) Phys. Rev. E , vol.58 , pp. 7176-7185
    • Brezin, E.1    Hikami, S.2
  • 9
    • 0035530553 scopus 로고    scopus 로고
    • Universality of the Local Spacing Distribution in Certain Ensembles of Hermitian Wigner Matrices
    • K. Johansson, Universality of the Local Spacing Distribution in Certain Ensembles of Hermitian Wigner Matrices. - Commun. Math. Phys. 215 (2001), 683-705.
    • (2001) Commun. Math. Phys , vol.215 , pp. 683-705
    • Johansson, K.1
  • 10
    • 11244356563 scopus 로고    scopus 로고
    • Large n Limit of Gaussian Random Matrices with External Source. Part I
    • P.M. Bleher and A.B.J. Kuijlaars, Large n Limit of Gaussian Random Matrices with External Source. Part I. - Commun. Math. Phys. 252 (2004), 43-76.
    • (2004) Commun. Math. Phys , vol.252 , pp. 43-76
    • Bleher, P.M.1    Kuijlaars, A.B.J.2
  • 11
    • 24144459114 scopus 로고    scopus 로고
    • Large n Limit of Gaussian Random Matrices with External Source. Part II
    • A.I. Aptekarev, P.M. Bleher, and A.B.J. Kuijlaars, Large n Limit of Gaussian Random Matrices with External Source. Part II. - Commun. Math. Phys. 25 (2005), 367-389.
    • (2005) Commun. Math. Phys , vol.25 , pp. 367-389
    • Aptekarev, A.I.1    Bleher, P.M.2    Kuijlaars, A.B.J.3
  • 12
    • 2142780206 scopus 로고
    • Problems and Theorems in Analysis
    • Springer-Verlag, Wissenschaften
    • G. Polya and G. Szego, Problems and Theorems in Analysis. Die Grundlehren der Math. Vol. II. Springer-Verlag, Wissenschaften, 1976.
    • (1976) Die Grundlehren Der Math , vol.2
    • Polya, G.1    Szego, G.2
  • 15
    • 28844496798 scopus 로고    scopus 로고
    • A Simple Approach to the Global Regime of Gaussian Ensembles of Random Matrices
    • L. Pastur, A Simple Approach to the Global Regime of Gaussian Ensembles of Random Matrices. - Ukr. Math. J. 57 (2005), 936-966.
    • (2005) Ukr. Math. J , vol.57 , pp. 936-966
    • Pastur, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.