Height fluctuations in the honeycomb dimer model

  title={Height fluctuations in the honeycomb dimer model},
  author={Richard Kenyon},
We study a model of random crystalline surfaces arising in the dimer model on the honeycomb lattice. For a fixed “wire frame” boundary condition, as the lattice spacing ǫ → 0, Cohn, Kenyon and Propp [3] showed the almost sure convergence of a random surface to a non-random limit shape Σ0. We show here that when Σ0 has no facets, for a large family of boundary conditions approximating the wire frame, the large-scale surface fluctations (height fluctuations) about Σ0 converge as ǫ→ 0 to a… CONTINUE READING
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Sheffield Dimers and amoebae

  • A. Okounkov, S.
  • Acta Math
  • 2007

Dimers and the complex Burgers equation , to appear

  • A. Okounkov R. Kenyon
  • Invent . Math .
  • 2002


  • S. Sheffield
  • Stanford University
  • 2002
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