Nicholas Ovenhouse

activity

20232025

collaborators

5 papers

math.QA2025

A quantum N-dimer model

Daniel C. Douglas, Richard Kenyon, Nicholas Ovenhouse +2

We study a quantum version of the $n$ -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 $M_{n}$ -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 $n$ -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…

math.CO2024

Eigenvalues of matrix products

Richard Kenyon, Nicholas Ovenhouse

We study pairs of matrices $A, B \in G L_{n} (C)$ such that the eigenvalues of $A$ , of $B$ and of the product $A B$ are specified in advance. We show that the space of such pair…

math.CO2023

Higher-rank dimer models