Lectures on Dimers

W. Temperley, M. Fisher, Dimer problem in statistical mechanics—an exact result. Philos. Mag. (8) 6 (1961) 1061–1063

1961

Earlier work this paper cites.

P. Kasteleyn, Graph theory and crystal physics , 1967 Graph Theory and Theoretical Physics pp. 43–110 Academic Press, London

1967

Earlier work this paper cites.

J. Percus, One more technique for the dimer problem. J. Mathematical Phys. 10 1969 1881–1888

1969

Earlier work this paper cites.

P. Billingsley, Ergodic theory and information. Reprint of the 1965 original. Robert E. Krieger Publishing Co., Huntington, N.Y., 1978

1978

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D. Klein, G. Hite, W. Seitz, T. Schmalz, Dimer coverings and Kekulé structures on honeycomb lattice strips, Theor. Chim. Acta (1986) 69:409-423

1986

Earlier work this paper cites.

G. Hite, T. Živković, D. Klein, Conjugated circuit theory for graphite. Theor. Chim. Acta (1988) 74:349-361

1988

Earlier work this paper cites.

W. Thurston, Groups, tilings and finite state automata: Summer 1989 AMS colloquim lectures

1989

Earlier work this paper cites.

R. Kenyon, Local statistics of lattice dimers , Ann. Inst. H. Poincaré, Probabilités 33

1997

Earlier work this paper cites.

A. Soshnikov, Determinantal random point fields. Russian Math. Surveys 55 (2000), no. 5, 923–975

2000

Cited alongside, same era.

H. Cohn, R. Kenyon, J. Propp, A variational principle for domino tilings , J. Amer. Math. Soc., 14

2001

Cited alongside, same era.

R. Kenyon, Dominos and the Gaussian free field. Ann. Probab. 29 (2001), no. 3, 1128–1137

2001

Cited alongside, same era.

G. Mikhalkin, H. Rullgård, Amoebas of maximal area. Internat. Math. Res. Notices 2001, no. 9, 441–451

2001

Cited alongside, same era.

R. Kenyon, The Laplacian and Dirac operators on critical planar graphs, Invent. Math. 150 (2002), no. 2, 409–439

2002

Cited alongside, same era.

R. Kenyon, An introduction to the dimer model , School and Workshop on Probability, ICTP lectures notes, G. Lawler, Ed. 2004 math.CO/0310326

S. Sheffield, Random surfaces. AstŽrisque No. 304 (2005)

2005

Later among the works it cites.

R. Kenyon, A. Okounkov, Planar dimers and Harnack curves. Duke Math. J. 131 (2006), no. 3, 499–524

2006

Later among the works it cites.

R. Kenyon, A. Okounkov, S. Sheffield Dimers and amoebae. Ann. of Math. (2) 163 (2006), no. 3, 1019–1056

2006

Later among the works it cites.

Nekrasov, Okounkov, Seiberg-Witten theory and random partitions. The unity of mathematics, 525–596, Progr. Math., 244, BirkhŠuser Boston, Boston, MA, 2006

2006

Later among the works it cites.

Cédric Boutillier, Pattern densities in non-frozen planar dimer models , Comm. Math. Phys. 271 (2007), no. 1, 55–91

2007

Later among the works it cites.