Completely integrable models in quasicrystals

DOI10.1007/BF01209021zbMath0614.52009MaRDI QIDQ1819734

Vladimir E. Korepin

Publication date: 1987

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

zbMATH Keywords

icosahedral tilingintegrable dynamical models in quasicrystalsinteracting spinsPenrose nonperiodic tiling

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17)

Related Items (3)

Wavevector-dependent susceptibility in \(Z\)-invariant pentagrid Ising model ⋮ Cauchy problem for integrable discrete equations on quad-graphs ⋮ Quasicrystals -- the impact of N. G. de Bruijn

Cites Work

• The Yang-Baxter equations and the Zamolodchikov model
• Pentaplexity. A class of non-periodic tilings of the plane
• On periodic and non-periodic space fillings ofE^mobtained by projection
• The diffraction pattern of projected structures
• Equivalence of the generalised grid and projection methods for the construction of quasiperiodic tilings
• Quasiperiodic patterns and icosahedral symmetry
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