메뉴 건너뛰기




Volumn 506, Issue 3, 1997, Pages 633-664

Eigenvalue distribution of large random matrices, from one matrix to several coupled matrices

Author keywords

Matrix model; Orthogonal polynomials; Random matrices; Universal correlations

Indexed keywords


EID: 0031521153     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(97)00452-5     Document Type: Article
Times cited : (51)

References (33)
  • 2
    • 0010778358 scopus 로고
    • [2] G. Hacken, R. Werbin and J. Rainwater, Phys. Rev. C 17 (1978) 43; W.M. Wilson, E.G. Bilpuch and G.E. Mitchel, Nucl. Phys. A 245 (1975); R.U. Hag, A. Pandey and O. Bohigas, Phys. Rev. Lett. 48 (1982) 1086.
    • (1978) Phys. Rev. C , vol.17 , pp. 43
    • Hacken, G.1    Werbin, R.2    Rainwater, J.3
  • 3
    • 0010778358 scopus 로고
    • [2] G. Hacken, R. Werbin and J. Rainwater, Phys. Rev. C 17 (1978) 43; W.M. Wilson, E.G. Bilpuch and G.E. Mitchel, Nucl. Phys. A 245 (1975); R.U. Hag, A. Pandey and O. Bohigas, Phys. Rev. Lett. 48 (1982) 1086.
    • (1975) Nucl. Phys. A , vol.245
    • Wilson, W.M.1    Bilpuch, E.G.2    Mitchel, G.E.3
  • 4
    • 35949022154 scopus 로고
    • [2] G. Hacken, R. Werbin and J. Rainwater, Phys. Rev. C 17 (1978) 43; W.M. Wilson, E.G. Bilpuch and G.E. Mitchel, Nucl. Phys. A 245 (1975); R.U. Hag, A. Pandey and O. Bohigas, Phys. Rev. Lett. 48 (1982) 1086.
    • (1982) Phys. Rev. Lett. , vol.48 , pp. 1086
    • Hag, R.U.1    Pandey, A.2    Bohigas, O.3
  • 6
    • 85033086658 scopus 로고
    • Correlation functions in disordered systems
    • [4] E. Brézin and A. Zee, Correlation functions in disordered systems, Nucl. Phys. B 402 (1993).
    • (1993) Nucl. Phys. B , vol.402
    • Brézin, E.1    Zee, A.2
  • 7
    • 84927349471 scopus 로고
    • reprinted in C.E. Porter, Statistical Theories of Spectra: Fluctuations (Academic Press, New York, 1991)
    • [5] E.P. Wigner, Proc. Cambridge Philos. Soc. 47 (1951) 790, reprinted in C.E. Porter, Statistical Theories of Spectra: Fluctuations (Academic Press, New York, 1991).
    • (1951) Proc. Cambridge Philos. Soc. , vol.47 , pp. 790
    • Wigner, E.P.1
  • 9
    • 0010776093 scopus 로고
    • Non-linear renormalization group equation for matrix models
    • [7] S. Higuchi, C. Itoi, S. Nishigaki and N. Sakai, Non-linear renormalization group equation for matrix models, Nucl. Phys. B 318 (1993) 63.
    • (1993) Nucl. Phys. B , vol.318 , pp. 63
    • Higuchi, S.1    Itoi, C.2    Nishigaki, S.3    Sakai, N.4
  • 12
    • 0001176641 scopus 로고
    • [9] M. Douglas and S. Shenker, Nucl. Phys. B 335 (1990) 635; E. Brézin and V. Kazakov, Phys. Lett. B 236 (1990) 144; D. Gross and A. Migdal, Phys. Rev. Lett. 64 (1990) 127; Nucl. Phys. B 340 (1990) 333.
    • (1990) Nucl. Phys. B , vol.335 , pp. 635
    • Douglas, M.1    Shenker, S.2
  • 13
    • 0000750828 scopus 로고
    • [9] M. Douglas and S. Shenker, Nucl. Phys. B 335 (1990) 635; E. Brézin and V. Kazakov, Phys. Lett. B 236 (1990) 144; D. Gross and A. Migdal, Phys. Rev. Lett. 64 (1990) 127; Nucl. Phys. B 340 (1990) 333.
    • (1990) Phys. Lett. B , vol.236 , pp. 144
    • Brézin, E.1    Kazakov, V.2
  • 14
    • 0001019709 scopus 로고
    • [9] M. Douglas and S. Shenker, Nucl. Phys. B 335 (1990) 635; E. Brézin and V. Kazakov, Phys. Lett. B 236 (1990) 144; D. Gross and A. Migdal, Phys. Rev. Lett. 64 (1990) 127; Nucl. Phys. B 340 (1990) 333.
    • (1990) Phys. Rev. Lett. , vol.64 , pp. 127
    • Gross, D.1    Migdal, A.2
  • 15
    • 0042052641 scopus 로고
    • [9] M. Douglas and S. Shenker, Nucl. Phys. B 335 (1990) 635; E. Brézin and V. Kazakov, Phys. Lett. B 236 (1990) 144; D. Gross and A. Migdal, Phys. Rev. Lett. 64 (1990) 127; Nucl. Phys. B 340 (1990) 333.
    • (1990) Nucl. Phys. B , vol.340 , pp. 333
  • 16
    • 0000920975 scopus 로고
    • Multiloop correlators for two-dimensional quantum gravity
    • [10] J. Ambjørn, J. Jurkiewicz and Yu.M. Makeenko, Multiloop correlators for two-dimensional quantum gravity, Phys. Lett. B 251 (1990) 517.
    • (1990) Phys. Lett. B , vol.251 , pp. 517
    • Ambjørn, J.1    Jurkiewicz, J.2    Makeenko, Yu.M.3
  • 18
    • 0039430657 scopus 로고
    • Correlations between the eigenvalues of a random matrix
    • [12] F.J. Dyson, Correlations between the eigenvalues of a random matrix, Commun. Math. Phys. 19 (1970) 235.
    • (1970) Commun. Math. Phys. , vol.19 , pp. 235
    • Dyson, F.J.1
  • 22
    • 0001133908 scopus 로고
    • Exact solution of the O(n) model on a random lattice
    • [16] B. Eynard and C. Kristjansen, Exact solution of the O(n) model on a random lattice, Nucl. Phys. B 455 (1995) 577.
    • (1995) Nucl. Phys. B , vol.455 , pp. 577
    • Eynard, B.1    Kristjansen, C.2
  • 23
    • 0000200923 scopus 로고
    • Rational theories of 2D gravity from the two-matrix model
    • [17] J.M. Daul, V.A. Kazakov and I.K. Kostov, Rational theories of 2D gravity from the two-matrix model, Nucl. Phys. B 409 (1993) 311.
    • (1993) Nucl. Phys. B , vol.409 , pp. 311
    • Daul, J.M.1    Kazakov, V.A.2    Kostov, I.K.3
  • 28
    • 0010844381 scopus 로고
    • [22] E. Brézin and A. Zee, Nucl. Phys. B 424 (1994) 435; Universal spectral correlations between Hamiltonians with disorder, Nucl. Phys. B 443 (1995) 433.
    • (1994) Nucl. Phys. B , vol.424 , pp. 435
    • Brézin, E.1    Zee, A.2
  • 29
    • 0011023263 scopus 로고
    • Universal spectral correlations between Hamiltonians with disorder
    • [22] E. Brézin and A. Zee, Nucl. Phys. B 424 (1994) 435; Universal spectral correlations between Hamiltonians with disorder, Nucl. Phys. B 443 (1995) 433.
    • (1995) Nucl. Phys. B , vol.443 , pp. 433
  • 30
    • 85033072796 scopus 로고    scopus 로고
    • Two coupled matrices: Eigenvalue correlations and spacing functions
    • Saclay Preprint T94/035
    • [23] M.L. Mehta and P. Shukla, Two coupled matrices: Eigenvalue correlations and spacing functions. Submitted to J. Phys. A, Saclay Preprint T94/035,
    • J. Phys. A
    • Mehta, M.L.1    Shukla, P.2
  • 32
    • 0003339568 scopus 로고    scopus 로고
    • Orthogonal Polynomials
    • Providence
    • [25] G. Szegö, Orthogonal Polynomials (Am. Math. Soc., Providence, 1939).
    • Am. Math. Soc. , pp. 1939
    • Szegö, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.