Asymptotics of the partial $n$-fold dimer model
Probability
2025-09-30 v2 Combinatorics
Abstract
We study a model of colored multiwebs, which generalizes the dimer model to allow each vertex to be adjacent to edges. These objects can be formulated as a random tiling of a graph with partial dimer covers. We examine the case of a cycle graph, and in particular we describe the local correlations of tiles in this setting.
Keywords
Cite
@article{arxiv.2412.04607,
title = {Asymptotics of the partial $n$-fold dimer model},
author = {Christina Meng},
journal= {arXiv preprint arXiv:2412.04607},
year = {2025}
}
Comments
14 pages, 3 figures. Final version to appear in Electron. Commun. Probab