@article{AIHPB_1997__33_5_591_0, author = {Kenyon, Richard}, title = {Local statistics of lattice dimers}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {591--618}, publisher = {Gauthier-Villars}, volume = {33}, number = {5}, year = {1997}, mrnumber = {1473567}, zbl = {0893.60047}, language = {en}, url = {http://www.numdam.org/item/AIHPB_1997__33_5_591_0/} }
Kenyon, Richard. Local statistics of lattice dimers. Annales de l'I.H.P. Probabilités et statistiques, Tome 33 (1997) no. 5, pp. 591-618. http://www.numdam.org/item/AIHPB_1997__33_5_591_0/
[BH] Roughening transitions and the zerotemperature triangular Ising antiferromagnet, J. Phys. A Vol. 15, 1982, L631-L637. | MR
and ,[BP] Local characteristics, entropy and limit theorems for spanning trees and domino tilings via transfer impedances, Ann. Probab., Vol. 21, 1993, pp. 1329-1371. | MR | Zbl
and ,[C] Advanced combinatorics, D. Reidel Publishing Company, Dordrecht. | MR | Zbl
,[CEP] Local statistics for random domino tilings of the Aztec diamond, Duke Math. J., Vol. 85, 1996, pp. 117-166. | MR | Zbl
and , ,[CKP]
and , , in preparation.[EKLP] Alternating sign matrices and domino tilings. J. Alg. Combinatorics, Vol. 1, 1992, pp. 111-132. | MR | Zbl
, and , ,[FS] Statistical mechanics of dimers on a plane lattice II. Dimer correlations and monomers, Phys. Rev. , Vol. 132, 1963, pp. 1411-1431. | MR | Zbl
and ,[HG] New solution of the Ising problem for a rectangular lattice, J. Chem. Phys., Vol. 33, 1960, pp. 1059-1062. | MR
and ,[K1] The statistics of dimers on a lattice, Physica, Vol. 27, 1961, pp. 1209-1225.
,[K2] Graph theory and crystal physics, in Graph Theory and Theoretical Physics, Academic Press, London 1967. | MR | Zbl
,[MPW] Correlations and spontaneous magnetization of the two-dimensional Ising model, J. Math. Phys., Vol. 4, 1963, p. 308-322. | MR
, and ,[P] Ergodic theory, Cambridge studes in advanced mathematics 2, Cambridge university press, Cambridge, 1983. | MR | Zbl
,[PW]
and , in preparation.[St] Ising-model spin correlations on the triangular lattice, J. Math. Phys., Vol. 5, 1964, pp. 1009-1024. | MR
,[T] Conway's tiling groups, Am. Math. Monthly, Vol. 97, 1990, pp. 757-773. | MR | Zbl
,[TF] The dimer problem in statistical mechanics - an exact result. Phil Mag., Vol. 6, 1961, pp. 1061-1063. | MR | Zbl
and ,[W] Dimers on rectangular lattices, J. Math. Phys, Vol. 3, 1962, pp. 1265-1266. | MR | Zbl
,