374 citations · 2.2k across the 47 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.PR2001★ 237 cited
Mixing times of lozenge tiling and card shuffling Markov chains
David Bruce Wilson
We show how to combine Fourier analysis with coupling arguments to bound the mixing times of a variety of Markov chains. The mixing time is the number of steps a Markov chain takes…