메뉴 건너뛰기




Volumn 86, Issue 1-2, 2005, Pages 131-158

Soliton theory, symmetrie functions and matrix integrals

Author keywords

[No Author keywords available]

Indexed keywords

FERMIONS; FUNCTIONS; MATRIX ALGEBRA; POLYNOMIALS; RANDOM PROCESSES; SET THEORY;

EID: 17444430416     PISSN: 01678019     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10440-005-0467-z     Document Type: Conference Paper
Times cited : (21)

References (41)
  • 3
    • 0032475010 scopus 로고    scopus 로고
    • On the structure of correlation functions in the normal matrix models
    • hep-th/9711091
    • Chau, L.-L. and Zaboronsky, O.: On the structure of correlation functions in the normal matrix models, Comm. Math. Phys. 196 (1998), 203-247; hep-th/9711091.
    • (1998) Comm. Math. Phys. , vol.196 , pp. 203-247
    • Chau, L.-L.1    Zaboronsky, O.2
  • 8
    • 84967758540 scopus 로고
    • Special functions of matrix arguments. I: Algebraic induction, zonal polynomials, and hypergeometric functions
    • Gross, K. I. and Richards, D. S.: Special functions of matrix arguments. I: Algebraic induction, zonal polynomials, and hypergeometric functions, Trans. Amer. Math. Soc. 301 (1987), 781-811.
    • (1987) Trans. Amer. Math. Soc. , vol.301 , pp. 781-811
    • Gross, K.I.1    Richards, D.S.2
  • 12
    • 17444364014 scopus 로고    scopus 로고
    • to be published November
    • Harnad, J. and Orlov, A. Yu.: Scalar products of symmetric functions and matrix integrals, nlin.SI/0211051, reported at the NEEDS-2002 meeting in Cadiz, to be published in Teor. Mat. Phys. 137(2) (November 2003).
    • (2003) Teor. Mat. Phys. , vol.137 , Issue.2
  • 19
    • 0007066898 scopus 로고
    • Summation theorems for basic hypergeometric series of Schur function argument
    • A. A. Gonchar and E. B. Saff (eds), Springer-Verlag, New York
    • Milne, S. C.: Summation theorems for basic hypergeometric series of Schur function argument, In: A. A. Gonchar and E. B. Saff (eds), Progress in Approximation Theory, Springer-Verlag, New York, 1992, pp. 51-77.
    • (1992) Progress in Approximation Theory , pp. 51-77
    • Milne, S.C.1
  • 21
    • 0002827205 scopus 로고
    • On Hirota's difference equations
    • Miwa, T.: On Hirota's difference equations, Proc. Japan Acad. Ser. A 58 (1982), 9-12.
    • (1982) Proc. Japan Acad. Ser. A , vol.58 , pp. 9-12
    • Miwa, T.1
  • 22
    • 0001816017 scopus 로고
    • Integrability and matrix models
    • Morozov, A. Yu.: Integrability and matrix models, Uspekhi Fiz. Nauk 164 (1994), 3-62.
    • (1994) Uspekhi Fiz. Nauk , vol.164 , pp. 3-62
    • Morozov, A.Yu.1
  • 23
    • 0007071657 scopus 로고
    • Vertex operators, 3 bar problem, symmetries, Hamiltonian and Lagrangian formalism of (2 + 1) dimensional integrable systems
    • V. G. Bar'yakhtar and V. E. Zakharov (eds), (Kiev 1987), World Scientific, Singapore
    • Orlov, A. Yu.: Vertex operators, 3 bar problem, symmetries, Hamiltonian and Lagrangian formalism of (2 + 1) dimensional integrable systems, In: V. G. Bar'yakhtar and V. E. Zakharov (eds), Plasma Theory and Nonlinear and Turbulent Processes in Physics, Proc. III Kiev Intern. Workshop, Vol. I. Proceedings (Kiev 1987), World Scientific, Singapore, 1988, pp. 116-134.
    • (1988) Plasma Theory and Nonlinear and Turbulent Processes in Physics, Proc. III Kiev Intern. Workshop, Vol. I. Proceedings , vol.1 , pp. 116-134
    • Orlov, A.Yu.1
  • 24
    • 4043162927 scopus 로고    scopus 로고
    • Hypergeometric functions related to Schur Q-polynomials and BKP equation
    • to be published in November
    • Orlov, A. Yu.: Hypergeometric functions related to Schur Q-polynomials and BKP equation, to be published in Tear. Mat. Phys. 137(2) (November 2003).
    • (2003) Tear. Mat. Phys. , vol.137 , Issue.2
    • Orlov, A.Yu.1
  • 27
    • 0035937688 scopus 로고    scopus 로고
    • Milne's hypergeometric functions in terms of free fermions
    • Orlov, A. Yu. and Scherbin, M. D.: Milne's hypergeometric functions in terms of free fermions, J. Phys. A: Math. Gen. 34 (2001), 2295-2310.
    • (2001) J. Phys. A: Math. Gen. , vol.34 , pp. 2295-2310
    • Orlov, A.Yu.1    Scherbin, M.D.2
  • 28
    • 0035872958 scopus 로고    scopus 로고
    • Multivariate hypergeometric functions as tau functions of Toda lattice and Kadomtsev-Petviashvili equation
    • March
    • Orlov, A. Yu. and Scherbin, D. M.: Multivariate hypergeometric functions as tau functions of Toda lattice and Kadomtsev-Petviashvili equation, Physica D 152-153 (March 2001), 51-56.
    • (2001) Physica D , vol.152-153 , pp. 51-56
    • Orlov, A.Yu.1    Scherbin, D.M.2
  • 29
    • 0035538995 scopus 로고    scopus 로고
    • Hypergeometric solutions of soliton equations
    • Orlov, A. Yu. and Scherbin, D. M.: Hypergeometric solutions of soliton equations, Tear. Mat. Phys. 128(1) (2001), 84-108.
    • (2001) Tear. Mat. Phys. , vol.128 , Issue.1 , pp. 84-108
    • Orlov, A.Yu.1    Scherbin, D.M.2
  • 30
    • 0001361390 scopus 로고
    • Initial value problem for the Toda lattice hierarchy
    • Takasaki, K.: Initial value problem for the Toda lattice hierarchy, Adv. Stud. Pure Math. 4 (1984), 139-163.
    • (1984) Adv. Stud. Pure Math. , vol.4 , pp. 139-163
    • Takasaki, K.1
  • 31
    • 0000499892 scopus 로고    scopus 로고
    • The Toda lattice hierarchy and generalized String equation
    • hep-th/9506089, June 1995
    • Takasaki, K.: The Toda lattice hierarchy and generalized String equation, Comm. Math. Phys. 181 (1996), 131; hep-th/9506089, June 1995.
    • (1996) Comm. Math. Phys. , vol.181 , pp. 131
    • Takasaki, K.1
  • 32
    • 0040650400 scopus 로고
    • Representation theoretical meaning of initial value problem for the Toda lattice hierarchy I
    • Takebe, T.: Representation theoretical meaning of initial value problem for the Toda lattice hierarchy I, LMP 21 (1991), 77-84.
    • (1991) LMP , vol.21 , pp. 77-84
    • Takebe, T.1
  • 33
    • 85007994930 scopus 로고
    • Representation theoretical meaning of initial value problem for the Toda lattice hierarchy II
    • Takebe, T.: Representation theoretical meaning of initial value problem for the Toda lattice hierarchy II, Publ. RIMS, Kyoto Univ. 27 (1991), 491-503.
    • (1991) Publ. RIMS, Kyoto Univ. , vol.27 , pp. 491-503
    • Takebe, T.1
  • 34
    • 0001060060 scopus 로고
    • Integrable hierarchies and dispersionless limit
    • hep-th/94050096
    • Takebe, T. and Takasaki, K.: Integrable hierarchies and dispersionless limit, Rev. Math. Phys. 7 (1995), 743-808; hep-th/94050096.
    • (1995) Rev. Math. Phys. , vol.7 , pp. 743-808
    • Takebe, T.1    Takasaki, K.2
  • 39
    • 0002439929 scopus 로고
    • Zakharov, V. E. and Shabat, A. B.: J. Funct. Anal. Appl. 8 (1974), 226, 13 (1979), 166.
    • (1979) J. Funct. Anal. Appl. , vol.13 , pp. 166


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.