메뉴 건너뛰기




Volumn 39, Issue 28, 2006, Pages 9015-9033

The role of orthogonal polynomials in the six-vertex model and its combinatorial applications

Author keywords

[No Author keywords available]

Indexed keywords


EID: 33745582574     PISSN: 03054470     EISSN: 13616447     Source Type: Journal    
DOI: 10.1088/0305-4470/39/28/S15     Document Type: Article
Times cited : (19)

References (34)
  • 1
    • 33846349357 scopus 로고
    • Calculations of norms of bethe wave functions
    • Korepin V E 1982 Calculations of norms of bethe wave functions Commun. Math. Phys. 86 391-418
    • (1982) Commun. Math. Phys. , vol.86 , Issue.3 , pp. 391-418
    • Korepin, V.E.1
  • 3
    • 0000152133 scopus 로고
    • Partition function of the six-vertex model in the finite volume
    • Izergin A G 1987 Partition function of the six-vertex model in the finite volume Sov. Phys.-Dokl. 32 878-9
    • (1987) Sov. Phys.-Dokl. , vol.32 , pp. 878-879
    • Izergin, A.G.1
  • 6
    • 21244500490 scopus 로고    scopus 로고
    • On two-point boundary correlations in the six-vertex model with DWBC
    • JSTAT(2005)P05010 (Preprint math-ph/0503049)
    • Colomo F and Pronko A G 2005 On two-point boundary correlations in the six-vertex model with DWBC J. Stat. Mech.: Theor. Exp. JSTAT(2005)P05010 (Preprint math-ph/0503049)
    • (2005) J. Stat. Mech.: Theor. Exp.
    • Colomo, F.1    Pronko, A.G.2
  • 11
    • 3843106928 scopus 로고    scopus 로고
    • Combinatorial nature of ground state vector of o(1) loop model
    • Razumov A V and Stroganov Yu G 2004 Combinatorial nature of ground state vector of o(1) loop model Theor. Math. Phys. 138 333-7
    • (2004) Theor. Math. Phys. , vol.138 , Issue.3 , pp. 333-337
    • Razumov, A.V.1    Stroganov, Yu.G.2
  • 13
    • 24144458957 scopus 로고    scopus 로고
    • One-boundary temperley-lieb algebras in the XXZ and loop models
    • JSTAT(2005)P03003 (Preprint cond-mat/0411512)
    • Nichols A, Rittenberg V and de Gier J 2005 One-boundary temperley-lieb algebras in the XXZ and loop models J. Stat. Mech: Theory Exp. JSTAT(2005)P03003 (Preprint cond-mat/0411512)
    • (2005) J. Stat. Mech: Theory Exp.
    • Nichols, A.1    Rittenberg, V.2    De Gier, J.3
  • 16
    • 1842529920 scopus 로고    scopus 로고
    • Another proof of the alternative-sign matrix conjecture
    • Kuperberg G 1996 Another proof of the alternative-sign matrix conjecture Int. Math. Res. Not. 1996 139-50
    • (1996) Int. Math. Res. Not. , vol.1996 , pp. 139-150
    • Kuperberg, G.1
  • 17
    • 0001972430 scopus 로고    scopus 로고
    • Proof of the refined alternating sign matrix conjecture
    • Zeilberger D 1996 Proof of the refined alternating sign matrix conjecture New York J. Math. 2 59-68
    • (1996) New York J. Math. , vol.2 , pp. 59-68
    • Zeilberger, D.1
  • 20
    • 33745564430 scopus 로고    scopus 로고
    • Koekoek R and Swarttouw R F 1998 The Askey-scheme of hypergeometric orthogonal polynomials and its q-analoque Report no 98-17 Delft University of Technology
    • (1998) Report No 98-17
    • Koekoek, R.1    Swarttouw, R.F.2
  • 21
    • 0035813085 scopus 로고    scopus 로고
    • Six-vertex model with domain wall boundary conditions. Variable inhomogeneities
    • de Gier J and Korepin V 2001 Six-vertex model with domain wall boundary conditions. Variable inhomogeneities J. Phys. A: Math. Gen. 34 8135-44 (Preprint math-ph/0101036)
    • (2001) J. Phys. A: Math. Gen. , vol.34 , Issue.39 , pp. 8135-8144
    • De Gier, J.1    Korepin, V.2
  • 22
    • 0039011840 scopus 로고    scopus 로고
    • Thermodynamic limit of the six-vertex model with domain wall boundary conditions
    • Korepin V E and Zinn-Justin P 2000 Thermodynamic limit of the six-vertex model with domain wall boundary conditions J. Phys. A: Math. Gen. 33 7053-66
    • (2000) J. Phys. A: Math. Gen. , vol.33 , Issue.40 , pp. 7053-7066
    • Korepin, V.E.1    Zinn-Justin, P.2
  • 23
    • 0034271230 scopus 로고    scopus 로고
    • Six-vertex model with domain wall boundary conditions and one-matrix model
    • Zinn-Justin P 2000 Six-vertex model with domain wall boundary conditions and one-matrix model Phys. Rev. E 62 3411-18
    • (2000) Phys. Rev. , vol.62 , Issue.3 , pp. 3411-3418
    • Zinn-Justin, P.1
  • 24
    • 24144457546 scopus 로고    scopus 로고
    • Square ice, alternating sign matrices, and classical orthogonal polynomials
    • JSTAT(2005)P01005 (Preprint math-ph/0411076)
    • Colomo F and Pronko A G 2005 Square ice, alternating sign matrices, and classical orthogonal polynomials J. Stat. Mech.: Theory Exp. JSTAT(2005)P01005 (Preprint math-ph/0411076)
    • (2005) J. Stat. Mech.: Theory Exp.
    • Colomo, F.1    Pronko, A.G.2
  • 26
    • 48749144424 scopus 로고
    • Alternating-sign matrices and descending plane partitions
    • Mills W H, Robbins D P and Rumsey H 1983 Alternating-sign matrices and descending plane partitions J. Comb. Theory Ser. A 34 340-59
    • (1983) J. Comb. Theory Ser. , vol.34 , Issue.3 , pp. 340-359
    • Mills, W.H.1    Robbins, D.P.2    Rumsey, H.3
  • 27
    • 13744263836 scopus 로고    scopus 로고
    • Proof of the alternating sign matrix conjecture
    • Zeilberger D 1996 Proof of the alternating sign matrix conjecture Electron. J. Comb. 3 R13
    • (1996) Electron. J. Comb. , vol.3 , pp. 13
    • Zeilberger, D.1
  • 30
    • 0000586439 scopus 로고
    • Determinants and alternating-sign matrices
    • Robbins D P and Rumsey H 1986 Determinants and alternating-sign matrices Adv. Math. 62 169-84
    • (1986) Adv. Math. , vol.62 , Issue.2 , pp. 169-184
    • Robbins, D.P.1    Rumsey, H.2
  • 31
    • 0004073954 scopus 로고
    • Szegö G 1975 Orthogonal Polynomials (Colloquium Publications vol 23) 4th edn (Providence, RI: American Mathematical Society)
    • (1975) Orthogonal Polynomials
    • Szegö, G.1
  • 33
    • 15844365850 scopus 로고    scopus 로고
    • On the refined 3-enumeration of alternating sign matrices
    • Colomo F and Pronko A G 2005 On the refined 3-enumeration of alternating sign matrices Adv. Appl. Math. 34 798-811 (Preprint math-ph/0404045)
    • (2005) Adv. Appl. Math. , vol.34 , Issue.4 , pp. 798-811
    • Colomo, F.1    Pronko, A.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.