4 papers
The asymmetric five vertex model on a rectangle
Jan de Gier, Richard Kenyon, Michael Wheeler +1
We derive a determinantal expression for the inhomogeneous asymmetric five vertex model in a rectangular geometry with arbitrary boundary conditions at the bottom and top. Standard…
A quantum N-dimer model
Daniel C. Douglas, Richard Kenyon, Nicholas Ovenhouse +2
We study a quantum version of the -dimer model from statistical mechanics, based on the formalism from quantum topology developed by Reshetikhin and Turaev (the latter which, in…
The multinomial dimer model
Richard Kenyon, Catherine Wolfram
The dimer model is a classical statistical mechanics model which is exactly solvable in two dimensions, but about which little is known in higher dimensions. In analogy with large…
Webs and multiwebs for the symplectic group
Richard Kenyon, Haihan Wu
We define -multiwebs on planar graphs and discuss their relation with -webs. On a planar graph with a symplectic local system we define a matrix whose Pfaffian…