Pattern densities in fluid dimer models
Probability
2015-06-26 v1 Mathematical Physics
math.MP
Abstract
In this paper, we introduce a family of observables for the dimer model on a bi-periodic bipartite planar graph, called pattern density fields. We study the scaling limit of these objects for liquid and gaseous Gibbs measures of the dimer model, and prove that they converge to a linear combination of a derivative of the Gaussian massless free field and an independent white noise.
Keywords
Cite
@article{arxiv.math/0603324,
title = {Pattern densities in fluid dimer models},
author = {Cedric Boutillier},
journal= {arXiv preprint arXiv:math/0603324},
year = {2015}
}
Comments
38 pages, 3 figures