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A symmetry group of a Thue-Morse quasicrystal

Jean-Pierre Gazeau, Jacek Miekisz

cond-mat.stat-mecharXiv:cond-mat/9904230

Abstract

We present a method of coding general self-similar structures. In particular, we construct a symmetry group of a one-dimensional Thue-Morse quasicrystal, i.e., of a nonperiodic ground state of a certain translation-invariant, exponentially decaying interaction.

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