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Volumn 163, Issue 3, 2006, Pages 1019-1056

Dimers and amoebae

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EID: 33748693121     PISSN: 0003486X     EISSN: 0003486X     Source Type: Journal    
DOI: 10.4007/annals.2006.163.1019     Document Type: Article
Times cited : (462)

References (21)
  • 1
    • 0035429779 scopus 로고    scopus 로고
    • The low-temperature expansion of the Wulff crystal in the three-dimensional Ising model
    • R. CERF and R. KENYON, The low-temperature expansion of the Wulff crystal in the three-dimensional Ising model, Comm. Math. Phys. 222 (2001), 147-179.
    • (2001) Comm. Math. Phys. , vol.222 , pp. 147-179
    • Cerf, R.1    Kenyon, R.2
  • 2
    • 0035580737 scopus 로고    scopus 로고
    • A variational principle for domino tilings
    • electronic
    • H. COHN, R. KENYON, and J. PROPP, A variational principle for domino tilings, J. Amer. Math. Soc. 14 (2001), 297-346 (electronic).
    • (2001) J. Amer. Math. Soc. , vol.14 , pp. 297-346
    • Cohn, H.1    Kenyon, R.2    Propp, J.3
  • 3
    • 0002216461 scopus 로고
    • Pavage des figures planes sans trous par des dominos: Fondement graphique de l'algorithme de Thurston et parallélisation
    • J. C. FOURNIER, Pavage des figures planes sans trous par des dominos: fondement graphique de l'algorithme de Thurston et parallélisation, C. R. Acad. Sci. Paris Sér. 1 Math. 320 (1995), 107-112.
    • (1995) C. R. Acad. Sci. Paris Sér. 1 Math. , vol.320 , pp. 107-112
    • Fournier, J.C.1
  • 7
    • 0004167764 scopus 로고
    • Stanford Univ. Press, Stanford, CA
    • S. KARLIN, Total Positivity, Stanford Univ. Press, Stanford, CA, 1968.
    • (1968) Total Positivity
    • Karlin, S.1
  • 8
    • 0001834352 scopus 로고
    • Graph theory and crystal physics
    • Academic Press, New York
    • P. KASTELEYN, Graph theory and crystal physics, in Graph Theory and Theoretical Physics, pp. 43-110, Academic Press, New York, 1967.
    • (1967) Graph Theory and Theoretical Physics , pp. 43-110
    • Kasteleyn, P.1
  • 9
    • 33748707548 scopus 로고    scopus 로고
    • An introduction to the dimer model
    • ICTP Lectures Notes (May, 2002) (G. Lawler, ed.); math.CO/0310326
    • R. KENYON, An introduction to the dimer model, in School and Workshop on Probability, ICTP Lectures Notes (May, 2002) (G. Lawler, ed.), 2004; math.CO/0310326.
    • (2004) School and Workshop on Probability
    • Kenyon, R.1
  • 10
    • 0031539338 scopus 로고    scopus 로고
    • Local statistics of lattice dimers
    • _, Local statistics of lattice dimers, Ann. Inst. H. Poincaré, Probab. Statist. 33 (1997), 591-618.
    • (1997) Ann. Inst. H. Poincaré, Probab. Statist. , vol.33 , pp. 591-618
  • 11
    • 0035981377 scopus 로고    scopus 로고
    • The Laplacian and ∂̄ operators on critical planar graphs
    • _, The Laplacian and ∂̄ operators on critical planar graphs, Invent. Math. 150 (2002), 409-439.
    • (2002) Invent. Math. , vol.150 , pp. 409-439
  • 12
    • 33644810420 scopus 로고    scopus 로고
    • Planar Dimers and Harnack curves
    • math.AG/0311062
    • R. KENYON and A. OKOUNKOV, Planar Dimers and Harnack curves, Duke Math. J. 131 (2006), 499-524; math.AG/0311062.
    • (2006) Duke Math. J. , vol.131 , pp. 499-524
    • Kenyon, R.1    Okounkov, A.2
  • 17
    • 0000101134 scopus 로고    scopus 로고
    • Devil's staircase-type faceting of a cubic lyotropic liquid crystal
    • P. PIERANSKI, P. SOTTA, D. ROHE, and M. IMPEROR-CLERC, Devil's staircase-type faceting of a cubic lyotropic liquid crystal, Phys. Rev. Lett. 84 (2000), 2409-2412.
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 2409-2412
    • Pieranski, P.1    Sotta, P.2    Rohe, D.3    Imperor-Clerc, M.4
  • 18
    • 84859272877 scopus 로고    scopus 로고
    • Ph.D. Thesis, Standford Univ., to appear
    • S. SHEFFIELD, Ph.D. Thesis, Standford Univ., 2003, to appear, Astérisque.
    • (2003) Astérisque
    • Sheffield, S.1
  • 19
    • 0347113873 scopus 로고    scopus 로고
    • Matchings in graphs on non-orientable surfaces
    • G. TESLER, Matchings in graphs on non-orientable surfaces. J. Combin. Theory Ser. B 78 (2000), 198-231.
    • (2000) J. Combin. Theory Ser. B , vol.78 , pp. 198-231
    • Tesler, G.1
  • 20
    • 0038445303 scopus 로고    scopus 로고
    • Computing amoebas
    • T. THEOBALD, Computing amoebas, Experiment. Math. 11 (2002), 513-526.
    • (2002) Experiment. Math. , vol.11 , pp. 513-526
    • Theobald, T.1
  • 21
    • 0000821829 scopus 로고
    • Conway's tiling groups
    • W. P. THURSTON, Conway's tiling groups, Amer. Math. Monthly 97 (1990), 757-773.
    • (1990) Amer. Math. Monthly , vol.97 , pp. 757-773
    • Thurston, W.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.