344 citations · 1.3k across the 59 of their papers we have counts for
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math-ph2000
The asymptotic determinant of the discrete Laplacian
Richard Kenyon
We compute the asymptotic determinant of the discrete Laplacian on a simply-connected rectilinear region in R^2. As an application of this result, we prove that the growth exponent…
math.CO2000★ 344 cited
A variational principle for domino tilings
Henry Cohn, Richard Kenyon, James Propp
We formulate and prove a variational principle (in the sense of thermodynamics) for random domino tilings, or equivalently for the dimer model on a square grid. This principle stat…
math-ph2000★ 3 cited
Dominos and the Gaussian free field
R. Kenyon
We define a scaling limit of the height function on the domino tiling model (dimer model) on simply-connected regions in Z^2 and show that it is the ``massless free field'', a Gaus…