Local statistics of lattice dimers
Kenyon, Richard
Annales de l'I.H.P. Probabilités et statistiques, Tome 33 (1997), p. 591-618 / Harvested from Numdam
@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},
     volume = {33},
     year = {1997},
     pages = {591-618},
     mrnumber = {1473567},
     zbl = {0893.60047},
     language = {en},
     url = {http://dml.mathdoc.fr/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) pp. 591-618. http://gdmltest.u-ga.fr/item/AIHPB_1997__33_5_591_0/

[BH] H.W.J. Blöte and H.J. Hilhorst, Roughening transitions and the zerotemperature triangular Ising antiferromagnet, J. Phys. A Vol. 15, 1982, L631-L637. | MR 679091

[BP] R. Burton and R. Pemantle, Local characteristics, entropy and limit theorems for spanning trees and domino tilings via transfer impedances, Ann. Probab., Vol. 21, 1993, pp. 1329-1371. | MR 1235419 | Zbl 0785.60007

[C] L. Comtet , Advanced combinatorics, D. Reidel Publishing Company, Dordrecht. | MR 460128 | Zbl 0283.05001

[CEP] H. Cohn and N. Elkies, J. Propp, Local statistics for random domino tilings of the Aztec diamond, Duke Math. J., Vol. 85, 1996, pp. 117-166. | MR 1412441 | Zbl 0866.60018

[CKP] H. Cohn and R. Kenyon, J. Propp, in preparation.

[EKLP] N. Elkies, G. Kuperberg and M. Larsen, J. Propp, Alternating sign matrices and domino tilings. J. Alg. Combinatorics, Vol. 1, 1992, pp. 111-132. | MR 1226347 | Zbl 0779.05009

[FS] M.E. Fisher and J. Stephenson, Statistical mechanics of dimers on a plane lattice II. Dimer correlations and monomers, Phys. Rev. , Vol. 132, 1963, pp. 1411-1431. | MR 158705 | Zbl 0132.22304

[HG] C.A. Hurst and H.S. Green, New solution of the Ising problem for a rectangular lattice, J. Chem. Phys., Vol. 33, 1960, pp. 1059-1062. | MR 116546

[K1] P.W. Kasteleyn, The statistics of dimers on a lattice, Physica, Vol. 27, 1961, pp. 1209-1225.

[K2] P.W. Kasteleyn, Graph theory and crystal physics, in Graph Theory and Theoretical Physics, Academic Press, London 1967. | MR 253689 | Zbl 0205.28402

[MPW] E.W. Montroll, R.B. Potts and J.C. Ward, Correlations and spontaneous magnetization of the two-dimensional Ising model, J. Math. Phys., Vol. 4, 1963, p. 308-322. | MR 148406

[P] K. Petersen, Ergodic theory, Cambridge studes in advanced mathematics 2, Cambridge university press, Cambridge, 1983. | MR 833286 | Zbl 0507.28010

[PW] J. Propp and D. Wilson, in preparation.

[St] J. Stephenson, Ising-model spin correlations on the triangular lattice, J. Math. Phys., Vol. 5, 1964, pp. 1009-1024. | MR 168310

[T] W. Thurston , Conway's tiling groups, Am. Math. Monthly, Vol. 97, 1990, pp. 757-773. | MR 1072815 | Zbl 0714.52007

[TF] H. Templerley and M. Fisher, The dimer problem in statistical mechanics - an exact result. Phil Mag., Vol. 6, 1961, pp. 1061-1063. | MR 136398 | Zbl 0126.25102

[W] T. Wu, Dimers on rectangular lattices, J. Math. Phys, Vol. 3, 1962, pp. 1265-1266. | MR 149896 | Zbl 0113.23406