Communications in Mathematical Physics

, Volume 309, Issue 1, pp 87–121

Asymptotic Shapes with Free Boundaries



We study limit shapes for dimer models on domains of the hexagonal lattice with free boundary conditions. This is equivalent to the large deviation phenomenon for a random stepped surface over domains fixed only at part of the boundary.


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© Springer-Verlag 2011

Authors and Affiliations

  1. 1.Institut de Physique Théorique du Commissariat à l’Energie AtomiqueUnité de Recherche Associée du CNRSGif sur Yvette CedexFrance
  2. 2.Department of MathematicsUniversity of California at BerkeleyBerkeleyUSA

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