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Completely integrable models in quasicrystals

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Abstract

The general method of construction of integrable dynamical models in quasicrystals is presented in the paper. It is illustrated on the example of the model of interacting spins for Penrose nonperiodic tiling of the plane. Another example constructed is the three dimensional model of interacting spins for icosahedral tiling of the three dimensional space. The bulk free energy is calculated for these models.

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  1. Leningrad Department of Steklov Mathematical Institute, Fontanka 27, SU-191011, Leningrad, USSR

    V. E. Korepin

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  1. V. E. Korepin
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Communicated by A. Jaffe

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Korepin, V.E. Completely integrable models in quasicrystals. Commun.Math. Phys. 110, 157–171 (1987). https://doi.org/10.1007/BF01209021

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  • DOI: https://doi.org/10.1007/BF01209021

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