Miquel dynamics, Clifford lattices and the dimer model

DOI10.1007/s11005-021-01406-0zbMath1467.82043arXiv1808.04227OpenAlexW3157861217MaRDI QIDQ830412

Niklas C. Affolter

Publication date: 7 May 2021

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.04227

zbMATH Keywords

dimer modelurban renewalcircle patternsClifford latticesMiquel dynamics

Mathematics Subject Classification ID

Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Combinatorics and topology in relation with holomorphic dynamical systems (37F20)

Related Items (4)

Dimer model and holomorphic functions on t‐embeddings of planar graphs ⋮ The Schwarzian octahedron recurrence (dSKP equation) I: explicit solutions ⋮ Vector-relation configurations and plabic graphs ⋮ Mini-workshop: Dimers, Ising and spanning trees beyond the critical isoradial case. Abstracts from the mini-workshop held November 15--21, 2020 (online meeting)

Cites Work

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• An exploration of the permanent-determinant method
• Generalized domino-shuffling.
• A first integrability result for Miquel dynamics
• The statistics of dimers on a lattice
• Menelaus$apos$ theorem, Clifford configurations and inversive geometry of the Schwarzian KP hierarchy
• Miquel Dynamics for Circle Patterns
• Dimers and cluster integrable systems
• Linear and nonlinear theories of discrete analytic functions. Integrable structure and isomonodromic Green’s function

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