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Asymptotic shapes with free boundaries

Mathematical Physics 2009-08-22 v1 Combinatorics math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.0908.1630,
  title  = {Asymptotic shapes with free boundaries},
  author = {P Di Francesco and N. Reshetikhin},
  journal= {arXiv preprint arXiv:0908.1630},
  year   = {2009}
}

Comments

35 pages, 11 figures

R2 v1 2026-06-21T13:34:39.771Z