2-periodic frieze patterns

2025/06/30 by Alastair King, King, Alastair, Toril Palaniappan +1
Mathematics · Physics and Astronomy · #13F60 #16G60 #FOS: Mathematics #Geometric Analysis and Curvature Flows #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2506.23959

openalex publication_date 2025/06/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We classify 2-periodic mesh friezes of finite type A, D or E with positive real entries. There are families with 0,1, or 2 parameters, depending on type.

Citations

• Fixed points of DT transformations, cluster exponents and degrees of Weyl groups
• Frieze patterns
• Superunitary regions of cluster algebras
• Integrable deformations of CFTs and the discrete Hirota equations

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