Change search
ReferencesLink to record
Permanent link

Direct link
Coupling functions for domino tilings of Aztec diamonds
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2014 (English)In: Advances in Mathematics, ISSN 0001-8708, E-ISSN 1090-2082, Vol. 259, 173-251 p.Article in journal (Refereed) Published
Abstract [en]

The inverse Kasteleyn matrix of a bipartite graph holds much information about the perfect matchings of the system such as local statistics which can be used to compute local and global asymptotics. In this paper, we consider three different weightings of domino tilings of the Aztec diamond and show using recurrence relations, that we can compute the inverse Kasteleyn matrix. These weights are the one-periodic weighting where the horizontal edges have one weight and the vertical edges have another weight, the q(vol) weighting which corresponds to multiplying the product of tile weights by q if we add a 'box' to the height function and the two-periodic weighting which exhibits a flat region with defects in the center.

Place, publisher, year, edition, pages
2014. Vol. 259, 173-251 p.
Keyword [en]
Aztec diamond, Kasteleyn matrix, Dimer, Domino tilings
National Category
URN: urn:nbn:se:kth:diva-146125DOI: 10.1016/j.aim.2014.01.023ISI: 000335717400008ScopusID: 2-s2.0-84897391303OAI: diva2:722956
Knut and Alice Wallenberg Foundation, KAW 2010:0063

QC 20140610

Available from: 2014-06-10 Created: 2014-06-09 Last updated: 2014-06-10Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Chhita, Sunil
By organisation
Mathematics (Dept.)
In the same journal
Advances in Mathematics

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 22 hits
ReferencesLink to record
Permanent link

Direct link