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# Height fluctuations in the honeycomb dimer model

@inproceedings{Kenyon2008HeightFI, title={Height fluctuations in the honeycomb dimer model}, author={Richard Kenyon}, year={2008} }

- Published 2008

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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