3 papers
math.QA2026
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…
math.CO2025
Local Statistics of the -Dimer Model
Nickolas Anderson, Moriah Elkin, Elizabeth Kelley +2
The classical dimer model is concerned with the (weighted) enumeration of perfect matchings of a graph. An -dimer cover is a multiset of edges that can be realized as the disjoi…
math.CO2025
Mixed Dimer Models for Euler and Catalan Numbers
Andrew Claussen, Nicholas Ovenhouse
We study the enumeration of mixed dimer covers on skew Young diagrams of ribbon shape (also called border strips or snake graphs). For the two extreme cases of straight and zigzag…