3 papers
math.PR2025
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…
math-ph2024
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…
math-ph2005
Limit shapes and the complex burgers equation
Richard Kenyon, Andrei Okounkov
In this paper we study surfaces in R^3 that arise as limit shapes in a class of random surface models arising from dimer models. The limit shapes are minimizers of a surface tensio…