3 papers
math.PR2001
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.CO2000
Diagonal Sums of Boxed Plane Partitions
David B. Wilson
We give a simple proof of a nice formula for the means and covariances of the diagonal sums of a uniformly random boxed plane parition.
math.CO1999
Trees and Matchings
Richard W. Kenyon, James G. Propp, David B. Wilson
In this article, Temperley's bijection between spanning trees of the square grid on the one hand, and perfect matchings (also known as dimer coverings) of the square grid on the ot…