Asymptotics of the partial $n$-fold dimer model

Christina Meng

公開日: 2024/12/5

Abstract

We study a model of colored multiwebs, which generalizes the dimer model to allow each vertex to be adjacent to \(n_v\) 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.

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