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Volumn 2000, Issue 4, 2000, Pages

Discrete Zγ and Painlevé Equations

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[No Author keywords available]

Indexed keywords


EID: 0000355157     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (41)

References (19)
  • 1
    • 0001773696 scopus 로고    scopus 로고
    • Discrete conformal maps and surfaces
    • Symmetry and Integrability of Difference Equations (Canterbury, 1996), ed. P. Clarkson and F. Nijhoff, Cambridge Univ. Press, Cambridge
    • A. I. Bobenko, "Discrete conformal maps and surfaces"in Symmetry and Integrability of Difference Equations (Canterbury, 1996), ed. P. Clarkson and F. Nijhoff, London Math. Soc. Lecture Note Ser. 255, Cambridge Univ. Press, Cambridge, 1999, 97-108.
    • (1999) London Math. Soc. Lecture Note Ser. , vol.255 , pp. 97-108
    • Bobenko, A.I.1
  • 3
    • 0002611211 scopus 로고    scopus 로고
    • Discretization of surfaces and integrable systems
    • Clarendon Press, Oxford
    • _, "Discretization of surfaces and integrable systems"in Discrete Integrable Geometry and Physics, ed. A. I. Bobenko and R. Seiler, Clarendon Press, Oxford, 1999, 3-58.
    • (1999) Discrete Integrable Geometry and Physics , pp. 3-58
    • Bobenko, A.I.1    Seiler, R.2
  • 4
    • 0012564335 scopus 로고
    • Circle packing immersions form regularly exhaustible surfaces
    • K. Callahan and B. Rodin, Circle packing immersions form regularly exhaustible surfaces, Complex Variables Theory Appl. 21 (1993), 171-177.
    • (1993) Complex Variables Theory Appl. , vol.21 , pp. 171-177
    • Callahan, K.1    Rodin, B.2
  • 5
    • 0001525213 scopus 로고
    • A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation
    • P. A. Deift and X. Zhou, A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation, Ann. of Math. (2) 137 (1993), 295-368.
    • (1993) Ann. of Math. , vol.137 , Issue.2 , pp. 295-368
    • Deift, P.A.1    Zhou, X.2
  • 7
    • 0000533283 scopus 로고
    • Discrete Painlevé equations and their appearance in quantum gravity
    • A. S. Fokas, A. R. Its, and A. V. Kitaev, Discrete Painlevé equations and their appearance in quantum gravity, Comm. Math. Phys. 142 (1991), 313-344.
    • (1991) Comm. Math. Phys. , vol.142 , pp. 313-344
    • Fokas, A.S.1    Its, A.R.2    Kitaev, A.V.3
  • 8
    • 0033241659 scopus 로고    scopus 로고
    • Rigidity of infinite disk patterns
    • Z.-X. He, Rigidity of infinite disk patterns, Ann. of Math. (2) 149 (1999), 1-33.
    • (1999) Ann. of Math. , vol.149 , Issue.2 , pp. 1-33
    • He, Z.-X.1
  • 9
    • 0000865620 scopus 로고    scopus 로고
    • ∞ convergence of hexagonal disc packings to Riemann map
    • ∞ convergence of hexagonal disc packings to Riemann map, Acta. Math. 180 (1998), 219-245.
    • (1998) Acta. Math. , vol.180 , pp. 219-245
    • He, Z.-X.1    Schramm, O.2
  • 10
    • 0037823544 scopus 로고    scopus 로고
    • Discrete CMC surfaces and discrete holomorphic maps
    • ed. A. I. Bobenko and R. Seiler, Clarendon Press, Oxford
    • T. Hoffmann, "Discrete CMC surfaces and discrete holomorphic maps"in Discrete Integrable Geometry and Physics, ed. A. I. Bobenko and R. Seiler, Clarendon Press, Oxford, 1999, 97-112.
    • (1999) Discrete Integrable Geometry and Physics , pp. 97-112
    • Hoffmann, T.1
  • 11
    • 0003219756 scopus 로고
    • The Isomonodromic Deformation Method in the Theory of Painlevé Equations
    • Springer, Berlin
    • A. R. Its and V. Y. Novokshenov, The Isomonodromic Deformation Method in the Theory of Painlevé Equations, Lecture Notes in Math. 1191, Springer, Berlin, 1986.
    • (1986) Lecture Notes in Math. , vol.1191
    • Its, A.R.1    Novokshenov, V.Y.2
  • 12
    • 0002050296 scopus 로고    scopus 로고
    • On some "Schwarzian"equations and their discrete analogues
    • Algebraic Aspects of Integrable Systems, In Memory of Irene Dorfman, ed. A. S. Fokas and I. M. Gelfand, Birkhäuser, Boston
    • F. Nijhoff, "On some "Schwarzian"equations and their discrete analogues"in Algebraic Aspects of Integrable Systems, In Memory of Irene Dorfman, ed. A. S. Fokas and I. M. Gelfand, Progr. Nonlinear Differential Equations Appl. 26, Birkhäuser, Boston, 1997, 237-260.
    • (1997) Progr. Nonlinear Differential Equations Appl. , vol.26 , pp. 237-260
    • Nijhoff, F.1
  • 13
    • 0001539258 scopus 로고
    • The discrete Korteweg-de Vries Equation
    • F. Nijhoff and H. Capel, The discrete Korteweg-de Vries Equation, Acta Appl. Math. 39 (1995), 133-158.
    • (1995) Acta Appl. Math. , vol.39 , pp. 133-158
    • Nijhoff, F.1    Capel, H.2
  • 15
    • 84972500328 scopus 로고
    • The convergence of circle packings to Riemann mapping
    • B. Rodin and D. Sullivan, The convergence of circle packings to Riemann mapping, J. Differential Geom. 26 (1987), 349-360.
    • (1987) J. Differential Geom. , vol.26 , pp. 349-360
    • Rodin, B.1    Sullivan, D.2
  • 16
    • 0000462210 scopus 로고    scopus 로고
    • Circle patterns with the combinatorics of the square grid
    • O. Schramm, Circle patterns with the combinatorics of the square grid, Duke Math. J. 86 (1997), 347-389.
    • (1997) Duke Math. J. , vol.86 , pp. 347-389
    • Schramm, O.1
  • 17
    • 0345748993 scopus 로고
    • Circle packings and conformal geometry, a survey of selected topics
    • June
    • O. Schramm, Circle packings and conformal geometry, a survey of selected topics, Barrett Lectures, June 1988, http://www.math.weizmann.ac.il/̃ schramm.
    • (1988) Barrett Lectures
    • Schramm, O.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.