Minimal bipartite dimers and higher genus Harnack curves

DOI10.2140/pmp.2023.4.151OpenAlexW4225463704MaRDI QIDQ2699469

David Cimasoni, Béatrice de Tilière, Cédric Boutillier

Publication date: 26 April 2023

Published in: Probability and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.12622

zbMATH Keywords

dimer modelHarnack curvesKasteleyn operatorminimal bipartite graphs

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Infinite graphs (05C63)

Related Items (max. 100)

Elliptic dimers on minimal graphs and genus 1 Harnack curves ⋮ Arctic curves of the four-vertex model ⋮ The inverse spectral map for dimers ⋮ Discrete dynamics in cluster integrable systems from geometric \(R\)-matrix transformations

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