The inverse spectral map for dimers
DOI10.1007/s11040-023-09466-5zbMath1530.37091arXiv2207.10146OpenAlexW4386640784MaRDI QIDQ6072344
Alexander B. Goncharov, Terrence George, Richard W. Kenyon
Publication date: 13 October 2023
Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.10146
Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Relationships between algebraic curves and integrable systems (14H70) Rational and birational maps (14E05) Lattice dynamics; integrable lattice equations (37K60) Cluster algebras (13F60) Completely integrable discrete dynamical systems (37J70)
Cites Work
- Alternating-sign matrices and domino tilings. II
- Planar dimers and Harnack curves
- On the conjecture of King for smooth toric Deligne-Mumford stacks
- Alternating-sign matrices and domino tilings. I
- Local statistics of lattice dimers
- The Laplacian and Dirac operators on critical planar graphs
- Conformal invariance of domino tiling.
- Kasteleyn operators from mirror symmetry
- Dimers and amoebae
- Minimal bipartite dimers and higher genus Harnack curves
- A variational principle for domino tilings
- The statistics of dimers on a lattice
- Introduction to Toric Varieties. (AM-131)
- Loop Groups, Clusters, Dimers and Integrable Systems
- Dimer problem in statistical mechanics-an exact result
- Dimers and cluster integrable systems
- Elliptic dimers on minimal graphs and genus 1 Harnack curves
- Unnamed Item
- Unnamed Item