Dominos and the Gaussian Free Field
Kenyon, Richard
Ann. Probab., Tome 29 (2001) no. 1, p. 1128-1137 / Harvested from Project Euclid
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We define a scaling limit of the height function on the domino tiling model (dimer model) on simply connected regions in $\mathbf{Z}^2$ and show that it is the “massless free field,” a Gaussian process with independent coefficients when expanded in the eigenbasis of the Laplacian.
Publié le : 2001-07-14
Classification:  Dimer model,  domino tiling,  massless free field,  82B20,  60G15 
@article{1015345599,
     author = {Kenyon, Richard},
     title = {Dominos and the Gaussian Free Field},
     journal = {Ann. Probab.},
     volume = {29},
     number = {1},
     year = {2001},
     pages = { 1128-1137},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1015345599}
}

Kenyon, Richard. Dominos and the Gaussian Free Field. Ann. Probab., Tome 29 (2001) no. 1, pp.  1128-1137. http://gdmltest.u-ga.fr/item/1015345599/