344 citations · 1.3k across the 59 of their papers we have counts for
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math.PR2001★ 13 cited
Critical resonance in the non-intersecting lattice path model
Richard W. Kenyon, David B. Wilson
We study the phase transition in the honeycomb dimer model (equivalently, monotone non-intersecting lattice path model). At the critical point the system has a strong long-range de…
math.CO2001★ 213 cited
Local statistics of lattice dimers
Richard Kenyon
We show how to compute the probability of any given local configuration in a random tiling of the plane with dominos. That is, we explicitly compute the measures of cylinder sets f…