Communications in Mathematical Physics

, Volume 271, Issue 1, pp 55–91 | Cite as

Pattern Densities in Non-Frozen Planar Dimer Models

  • Cédric BoutillierEmail author
Open Access


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 non-frozen 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.


Fundamental Domain Gibbs Measure Dime Model Geometric Realization Pattern Density 
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Copyright information

© Springer-Verlag 2007

Authors and Affiliations

  1. 1.Centrum voor Wiskunde en InformaticaAmsterdamThe Netherlands

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