Dominos and the Gaussian free field
Kenyon, R.
arXiv, 0002027 / Harvested from arXiv
We define a scaling limit of the height function on the domino tiling model (dimer model) on simply-connected regions in 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 : 2000-02-09
Classification:  Mathematical Physics,  82B20,  60G15
@article{0002027,
     author = {Kenyon, R.},
     title = {Dominos and the Gaussian free field},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0002027}
}
Kenyon, R. Dominos and the Gaussian free field. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0002027/