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The Height Fluctuations of an Off-Critical Dimer Model on the Square Grid
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2012 (English)In: Journal of statistical physics, ISSN 0022-4715, E-ISSN 1572-9613, Vol. 148, no 1, 67-88 p.Article in journal (Refereed) Published
Abstract [en]

The dimer model on a planar bipartite graph can be viewed as a random surface measure. We study these fluctuations for a dimer model on the square grid with two different classes of weights and provide a condition for their equivalence. In the thermodynamic limit and scaling window, these height fluctuations are shown to be non-Gaussian.

Place, publisher, year, edition, pages
2012. Vol. 148, no 1, 67-88 p.
Keyword [en]
Dimer model, Scaling window, Non-Gaussian
National Category
Physical Sciences Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-100168DOI: 10.1007/s10955-012-0529-3ISI: 000306126100004Scopus ID: 2-s2.0-84864290066OAI: oai:DiVA.org:kth-100168DiVA: diva2:543012
Funder
Knut and Alice Wallenberg Foundation, KAW 2010.0063
Note
QC 20120806Available from: 2012-08-06 Created: 2012-08-06 Last updated: 2017-12-07Bibliographically approved

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