메뉴 건너뛰기




Volumn 274, Issue 2, 2007, Pages 427-455

Asymptotics of block toeplitz determinants and the classical dimer model

Author keywords

[No Author keywords available]

Indexed keywords


EID: 34547221445     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-007-0276-5     Document Type: Article
Times cited : (23)

References (21)
  • 1
    • 0034360853 scopus 로고    scopus 로고
    • On a Toeplitz determinant identity of Borodin and Okounkov
    • 4
    • Basor E.L. and Widom H. (2000). On a Toeplitz determinant identity of Borodin and Okounkov. Int. Eqs. Operator Th. 37(4): 397-401
    • (2000) Int. Eqs. Operator Th. , vol.37 , pp. 397-401
    • Basor, E.L.1    Widom, H.2
  • 2
    • 0034360852 scopus 로고    scopus 로고
    • A Fredholm determinant formula for Toeplitz determinants
    • Borodin A. and Okounkov A. (2000). A Fredholm determinant formula for Toeplitz determinants. Int. Eqs. Operator Th. 37: 386-396
    • (2000) Int. Eqs. Operator Th. , vol.37 , pp. 386-396
    • Borodin, A.1    Okounkov, A.2
  • 3
    • 0007229352 scopus 로고    scopus 로고
    • One more proof of the Borodin-Okounkov formula for Toeplitz determinants
    • 1
    • Böttcher A. (2001). One more proof of the Borodin-Okounkov formula for Toeplitz determinants. Int. Eqs. Operator Th. 41(1): 123-125
    • (2001) Int. Eqs. Operator Th. , vol.41 , pp. 123-125
    • Böttcher, A.1
  • 6
    • 0038456198 scopus 로고    scopus 로고
    • A generalization of Pincus' formula and Toeplitz operator determinants
    • Ehrhardt T. (2003). A generalization of Pincus' formula and Toeplitz operator determinants. Arch. Math. 80: 302-309
    • (2003) Arch. Math. , vol.80 , pp. 302-309
    • Ehrhardt, T.1
  • 7
    • 0037406127 scopus 로고    scopus 로고
    • A new algebraic proof of the Szegö-Widom limit theorem
    • 3
    • Ehrhardt T. (2003). A new algebraic proof of the Szegö-Widom limit theorem. Acta Math. Hungar. 99(3): 233-261
    • (2003) Acta Math. Hungar. , vol.99 , pp. 233-261
    • Ehrhardt, T.1
  • 8
    • 0036978398 scopus 로고    scopus 로고
    • Classical dimers on the triangular lattice
    • Fendley P., Moessner R. and Sondhi S.L. (2002). Classical dimers on the triangular lattice. Phys. Rev. B 66: 214513
    • (2002) Phys. Rev. B , vol.66 , pp. 214513
    • Fendley, P.1    Moessner, R.2    Sondhi, S.L.3
  • 9
    • 1842460783 scopus 로고
    • Statistical Mechanics of Dimers on a Plane Lattice. II. Dimer Correlations and Monomers
    • Fisher M.E. and Stephenson J. (1963). Statistical Mechanics of Dimers on a Plane Lattice. II. Dimer Correlations and Monomers. Phys. Rev. 132: 1411
    • (1963) Phys. Rev. , vol.132 , pp. 1411
    • Fisher, M.E.1    Stephenson, J.2
  • 10
    • 36749115316 scopus 로고
    • Scattering theory and polynomials orthogonal on the unit circle
    • Geronimo J.S. and Case K.M. (1979). Scattering theory and polynomials orthogonal on the unit circle. J. Math. Phys. 20: 299-310
    • (1979) J. Math. Phys. , vol.20 , pp. 299-310
    • Geronimo, J.S.1    Case, K.M.2
  • 11
    • 0003301335 scopus 로고
    • Introduction to the theory of linear nonselfadjoint operators
    • Providence. In: Amer. Math. Soc.
    • Gohberg, I.C., Krein, M.G.: Introduction to the Theory of Linear Nonselfadjoint Operators. Transl. Math. Monographs, Vol. 18, Providence. In: Amer. Math. Soc., (1969)
    • (1969) Transl. Math. Monographs , vol.18
    • Gohberg, I.C.1    Krein, M.G.2
  • 12
    • 0001163746 scopus 로고
    • Dimer statistics and phase transitions
    • Kasteleyn P.W. (1963). Dimer statistics and phase transitions. J. Math. Phys. 4: 287
    • (1963) J. Math. Phys. , vol.4 , pp. 287
    • Kasteleyn, P.W.1
  • 15
    • 17144436460 scopus 로고    scopus 로고
    • Resonating valence bond phase and the triangular lattice quantum dimer model
    • Moessner R. and Sondhi S.L. (2001). Resonating valence bond phase and the triangular lattice quantum dimer model. Phys. Rev. Lett. 86: 1881
    • (2001) Phys. Rev. Lett. , vol.86 , pp. 1881
    • Moessner, R.1    Sondhi, S.L.2
  • 16
    • 0141649303 scopus 로고    scopus 로고
    • Ising and dimer models in two and three dimensions
    • Moessner R. and Sondhi S.L. (2003). Ising and dimer models in two and three dimensions. Phys. Rev. B 68: 054405
    • (2003) Phys. Rev. B , vol.68 , pp. 054405
    • Moessner, R.1    Sondhi, S.L.2
  • 17
    • 0347064216 scopus 로고    scopus 로고
    • Three-dimensional resonating-valence-bond liquids and their excitations
    • Moessner R. and Sondhi S.L. (2003). Three-dimensional resonating-valence-bond liquids and their excitations. Phys. Rev. B 68: 184512
    • (2003) Phys. Rev. B , vol.68 , pp. 184512
    • Moessner, R.1    Sondhi, S.L.2
  • 18
    • 0036143546 scopus 로고    scopus 로고
    • Short-ranged resonating valence bond physics, quantum dimer models, and Ising gauge theories
    • Moessner R., Sondhi S.L. and Fradkin E. (2002). Short-ranged resonating valence bond physics, quantum dimer models, and Ising gauge theories. Phys. Rev. B 65: 024504
    • (2002) Phys. Rev. B , vol.65 , pp. 024504
    • Moessner, R.1    Sondhi, S.L.2    Fradkin, E.3
  • 19
    • 3743130827 scopus 로고
    • Superconductivity and the quantum hard-core dimer gas
    • Rokhsar D.S. and Kivelson S.A. (1988). Superconductivity and the quantum hard-core dimer gas. Phys. Rev. Lett. 61: 2376
    • (1988) Phys. Rev. Lett. , vol.61 , pp. 2376
    • Rokhsar, D.S.1    Kivelson, S.A.2
  • 20
    • 0041658306 scopus 로고
    • Asymptotic behavior of block Toeplitz matrices and determinants
    • 3
    • Widom H. (1974). Asymptotic behavior of block Toeplitz matrices and determinants. Adv. in Math. 13(3): 284-322
    • (1974) Adv. in Math. , vol.13 , pp. 284-322
    • Widom, H.1
  • 21
    • 0001937901 scopus 로고
    • Asymptotic behavior of block Toeplitz matrices and determinants. II. Adv
    • 1
    • Widom H. (1976). Asymptotic behavior of block Toeplitz matrices and determinants. II. Adv. in Math. 21(1): 1-29
    • (1976) In Math. , vol.21 , pp. 1-29
    • Widom, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.