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Volumn 196, Issue 1, 1998, Pages 203-247

On the structure of correlation functions in the normal matrix model

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EID: 0032475010     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050420     Document Type: Article
Times cited : (103)

References (53)
  • 1
    • 4244035165 scopus 로고
    • Method of solution for a class of multidimensional non-linear evolution equations
    • Ablowitz, M. and Fokas, A.: Method of solution for a class of multidimensional non-linear evolution equations. Phys. Rev. Lett. 51 (1), 7 (1983)
    • (1983) Phys. Rev. Lett. , vol.51 , Issue.1 , pp. 7
    • Ablowitz, M.1    Fokas, A.2
  • 2
    • 1542383124 scopus 로고
    • Universality of the correlations between eigenvalues of large random matrices
    • Brezin, E. and Zee, A.: Universality of the correlations between eigenvalues of large random matrices. Nucl. Phys. B402, 613 (1993)
    • (1993) Nucl. Phys. , vol.B402 , pp. 613
    • Brezin, E.1    Zee, A.2
  • 3
    • 0010817460 scopus 로고
    • Universal relation between Green's functions in random matrix theory
    • E-print archive: cond-mat/9507032
    • Brezin, E. and Zee, A.: Universal relation between Green's functions in random matrix theory. E-print archive: cond-mat/9507032, Nucl. Phys. B453, 531 (1995)
    • (1995) Nucl. Phys. , vol.B453 , pp. 531
    • Brezin, E.1    Zee, A.2
  • 5
    • 0007260489 scopus 로고
    • Unitary polynomials in normal matrix model and wave functions for the fractional quantum Hall effect
    • Chau, L.-L. and Yu, Y.: Unitary polynomials in normal matrix model and wave functions for the fractional quantum Hall effect. Phys. Lett. A167, 452 (1992)
    • (1992) Phys. Lett. , vol.A167 , pp. 452
    • Chau, L.-L.1    Yu, Y.2
  • 6
    • 0039035373 scopus 로고    scopus 로고
    • Normal matrix model, Toda lattice hierarchy, and the two-dimensional electron gas in the strong magnetic field
    • ed. J. P. Hsu et. al., Singapore: World Scientific
    • Chau, L.-L. and Zaboronsky, O.: Normal matrix model, Toda lattice hierarchy, and the two-dimensional electron gas in the strong magnetic field. Proceedings in memory of Professor Wolfgang Kroll, ed. J. P. Hsu et. al., Singapore: World Scientific, 1997
    • (1997) Proceedings in Memory of Professor Wolfgang Kroll
    • Chau, L.-L.1    Zaboronsky, O.2
  • 8
    • 0041066686 scopus 로고
    • Transformation groups for soliton equations. II
    • Ser. A
    • Date, E., Kashiwara, M. and Miwa, T.: Transformation groups for soliton equations. II. Proc. Japan Acad. 57, Ser. A, 387 (1981)
    • (1981) Proc. Japan Acad. , vol.57 , pp. 387
    • Date, E.1    Kashiwara, M.2    Miwa, T.3
  • 9
    • 0039627498 scopus 로고
    • Transformation groups for soliton equations. III
    • Ser. A
    • Date, E., Jimbo, M., Kashiwara, M. and Miwa, T.: Transformation groups for soliton equations. III. J. Phys. Soc. Jpn., 50, Ser. A, 342 (1981)
    • (1981) J. Phys. Soc. Jpn. , vol.50 , pp. 342
    • Date, E.1    Jimbo, M.2    Kashiwara, M.3    Miwa, T.4
  • 12
    • 35549006412 scopus 로고
    • Statistical theory of energy levels of complex systems, I, II and III
    • Dyson, F.: Statistical theory of energy levels of complex systems, I, II and III. Jour. Math. Phys. 3, 140, 157 and 166 (1962)
    • (1962) Jour. Math. Phys. , vol.3 , pp. 140
    • Dyson, F.1
  • 13
    • 0003886071 scopus 로고
    • Asymptotic estimates and entire functions
    • Translated by Allen L. Shields. New York: Gordon and Breach, Inc.
    • Evgrafov, M.: Asymptotic estimates and entire functions. Translated by Allen L. Shields. Russian Tracts on Advanced Mathematics and Physics, Vol. IV; New York: Gordon and Breach, Inc., 1961
    • (1961) Russian Tracts on Advanced Mathematics and Physics , vol.4
    • Evgrafov, M.1
  • 16
    • 0000913607 scopus 로고
    • Continuum Schwinger-Dyson equations and universal structures in two-dimensional quantum gravity
    • Fukuma, M., Kawai, H. and Nakayama, R.: Continuum Schwinger-Dyson equations and universal structures in two-dimensional quantum gravity. Int. J. Mod. Phys. A6, 1385 (1991)
    • (1991) Int. J. Mod. Phys. A , vol.6 , pp. 1385
    • Fukuma, M.1    Kawai, H.2    Nakayama, R.3
  • 17
  • 20
    • 0000063974 scopus 로고
    • Noncritical Virasoro algebra of the d < 1 matrix model and the quantized string field
    • Itoyama, H. and Matsuo, Y.: Noncritical Virasoro algebra of the d < 1 matrix model and the quantized string field. Phys. Lett. B255, 202 (1991)
    • (1991) Phys. Lett. , vol.B255 , pp. 202
    • Itoyama, H.1    Matsuo, Y.2
  • 21
    • 0040219459 scopus 로고
    • Transformation groups for soliton equations. I
    • Ser. A
    • Kashiwara, M. and Miwa, T.: Transformation groups for soliton equations. I. Proc. Japan Acad. 57, Ser. A, 342 (1981)
    • (1981) Proc. Japan Acad. , vol.57 , pp. 342
    • Kashiwara, M.1    Miwa, T.2
  • 22
    • 0001378598 scopus 로고
    • The appearance of matter fields from quantum fluctuations of 2D-gravity
    • Kazakov, V.: The appearance of matter fields from quantum fluctuations of 2D-gravity. Mod. Phys. Lett. A4, 2125 (1989)
    • (1989) Mod. Phys. Lett. , vol.A4 , pp. 2125
    • Kazakov, V.1
  • 23
    • 0001386210 scopus 로고
    • Generalized Kontsevich model versus Toda hierarchy and discrete matrix models
    • Kharchev, S., Marshakov, A., Mironov, A. and Morozov, A.: Generalized Kontsevich model versus Toda hierarchy and discrete matrix models. Nucl. Phys. B397, 339 (1993)
    • (1993) Nucl. Phys. , vol.B397 , pp. 339
    • Kharchev, S.1    Marshakov, A.2    Mironov, A.3    Morozov, A.4
  • 24
    • 0001269305 scopus 로고
    • Loop equations in matrix models and in 2D gravity
    • Makenko, Yu.: Loop equations in matrix models and in 2D gravity. Mod. Phys. Lett. A6, (no. 21), 1901 (1991)
    • (1991) Mod. Phys. Lett. , vol.A6 , Issue.21 , pp. 1901
    • Makenko, Yu.1
  • 25
    • 0001679352 scopus 로고
    • Fractional spin, magnetic moment and the short range interactions of anyons
    • Kogan, I., Semenoff, G.: Fractional spin, magnetic moment and the short range interactions of anyons. Nucl. Phys. B368, 718 (1992)
    • (1992) Nucl. Phys. , vol.B368 , pp. 718
    • Kogan, I.1    Semenoff, G.2
  • 31
    • 0004163930 scopus 로고
    • San-Diego: Academic Press
    • Mehta, M.: Random matrices. San-Diego: Academic Press, 1991
    • (1991) Random Matrices
    • Mehta, M.1
  • 32
    • 0002534930 scopus 로고
    • On the origin of Virasoro constraints in matrix models: Lagrangian approach
    • Mironov, A. and Morozov, A.: On the origin of Virasoro constraints in matrix models: Lagrangian approach. Phys. Lett. B252 47 (1990)
    • (1990) Phys. Lett. , vol.B252 , pp. 47
    • Mironov, A.1    Morozov, A.2
  • 34
    • 0001899720 scopus 로고
    • Integrability and matrix models
    • E-print archive: hep-th/9303139
    • Morozov, A.: Integrability and matrix models. E-print archive: hep-th/9303139, Phys. Usp. 1 1 (1994)
    • (1994) Phys. Usp. , vol.1 , pp. 1
    • Morozov, A.1
  • 35
    • 0039627490 scopus 로고
    • and private communication
    • Mulase, M.: Math. Sci. 228, (1982) and private communication
    • (1982) Math. Sci. , vol.228
    • Mulase, M.1
  • 38
    • 0040219430 scopus 로고
    • Perturbative series and the moduli space of Riemann surfaces
    • Penner, R.: Perturbative series and the moduli space of Riemann surfaces. Commun. Math. Phys. 113, 229 (1987)
    • (1987) Commun. Math. Phys. , vol.113 , pp. 229
    • Penner, R.1
  • 39
    • 13644254651 scopus 로고
    • The theory of turbulence in two dimensions
    • Polyakov, A.: The theory of turbulence in two dimensions. Nucl. Phys. B396, 367 (1993)
    • (1993) Nucl. Phys. , vol.B396 , pp. 367
    • Polyakov, A.1
  • 40
    • 0039799180 scopus 로고
    • PUPT-1546, Jun 13, e-print archive: hep-th/9506189
    • Polyakov, A.: Turbulence without pressure. PUPT-1546, Jun 1995, 13, e-print archive: hep-th/9506189
    • (1995) Turbulence Without Pressure
    • Polyakov, A.1
  • 41
    • 85008290297 scopus 로고
    • Holonomic quantum fields
    • Sato, M., Miwa, T. and Jimbo, M.: Holonomic quantum fields. Publ. RIMS, Kyoto Univ. 14, 223 (1978); 15, 201, 577, 871 (1979); 16, 531 (1980)
    • (1978) Publ. RIMS, Kyoto Univ. , vol.14 , pp. 223
    • Sato, M.1    Miwa, T.2    Jimbo, M.3
  • 42
    • 85008290297 scopus 로고
    • Sato, M., Miwa, T. and Jimbo, M.: Holonomic quantum fields. Publ. RIMS, Kyoto Univ. 14, 223 (1978); 15, 201, 577, 871 (1979); 16, 531 (1980)
    • (1979) Publ. RIMS, Kyoto Univ. , vol.15 , pp. 201
  • 43
    • 85008290297 scopus 로고
    • Sato, M., Miwa, T. and Jimbo, M.: Holonomic quantum fields. Publ. RIMS, Kyoto Univ. 14, 223 (1978); 15, 201, 577, 871 (1979); 16, 531 (1980)
    • (1980) Publ. RIMS, Kyoto Univ. , vol.16 , pp. 531
  • 44
    • 0039627480 scopus 로고
    • Holonomic quantum fields: The unanticipated link between deformation theory of differential equations and quantum fields
    • RIMS-305 (1979)
    • Sato, M., Jimbo, M., Miwa, T. and Mori, Y.: Holonomic quantum fields: the unanticipated link between deformation theory of differential equations and quantum fields. RIMS-305 (1979); Lausanne Math. Phys. 119 (1979)
    • (1979) Lausanne Math. Phys. , vol.119
    • Sato, M.1    Jimbo, M.2    Miwa, T.3    Mori, Y.4
  • 45
    • 0001841091 scopus 로고
    • Soliton equations as dynamical systems on infinite dimensional Grassmann manifold
    • Sato, M.: Soliton equations as dynamical systems on infinite dimensional Grassmann manifold. RIMS Kokyuroku, 439, 30 (1981)
    • (1981) RIMS Kokyuroku , vol.439 , pp. 30
    • Sato, M.1
  • 47
    • 0008517482 scopus 로고
    • Kinetic theory of gases and plasmas
    • Dordrecht, Boston, London: Kluwer Academic Publishers
    • Schram, J.M.: Kinetic Theory of Gases and Plasmas. Fundamental Theories of Physics Series, vol. 46, Dordrecht, Boston, London: Kluwer Academic Publishers, 1991
    • (1991) Fundamental Theories of Physics Series , vol.46
    • Schram, J.M.1
  • 48
    • 0039627489 scopus 로고
    • Anyons and Chern-Simons theory: A review
    • PRINT-91-0208 (BRITISH-COLUMBIA), Feb 1991. 32pp. Karpacz, Poland, Feb 18-Mar 1
    • Semenoff, G.: Anyons and Chern-Simons theory: A review. PRINT-91-0208 (BRITISH-COLUMBIA), Feb 1991. 32pp. Presented at Karpacz Winter School for Theoretical Physics, Karpacz, Poland, Feb 18-Mar 1, 1991
    • (1991) Karpacz Winter School for Theoretical Physics
    • Semenoff, G.1
  • 49
    • 0002786564 scopus 로고
    • Matrix models, one-dimensional fermions, and quantum chaos
    • B.
    • Simons, B., Altshuler, Lee and B.: Matrix models, one-dimensional fermions, and quantum chaos. Phys. Rev. Lett. 72 (1), 64 (1994)
    • (1994) Phys. Rev. Lett. , vol.72 , Issue.1 , pp. 64
    • Simons, B.1    Altshuler2    Lee3
  • 50
    • 33751098368 scopus 로고
    • Two results concerning asymptotic behavior of solutions of the Burgers equation with force
    • Sinai, Ya.: Two results concerning asymptotic behavior of solutions of the Burgers equation with force. J. Stat. Phys. 64, 1 (1991)
    • (1991) J. Stat. Phys. , vol.64 , pp. 1
    • Sinai, Ya.1
  • 52
    • 0040813990 scopus 로고
    • Ueno, K. and Takasaki, K.: Toda lattice hierarchy. I and II. Proceedings of the Japan Academy, Ser. A, 59 (5), 167 and ibid. 59 (6), 215 (1983)
    • (1983) Proceedings of the Japan Academy, Ser. A , vol.59 , Issue.6 , pp. 215
  • 53
    • 0002211443 scopus 로고
    • Construction of the multidimensional integrable systems and their solutions
    • Zakharov, V. and Manakov, S.: Construction of the multidimensional integrable systems and their solutions. Funktz. Anal Prilozh. 19 (2), 11 (1985)
    • (1985) Funktz. Anal Prilozh. , vol.19 , Issue.2 , pp. 11
    • Zakharov, V.1    Manakov, S.2


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