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arxiv: 0803.2172 · v1 · submitted 2008-03-14 · 🧮 math.SP · math.MG

About Substitution Tilings with Statistical Circular Symmetry

classification 🧮 math.SP math.MG
keywords manyorientationssubstitutiontilingsassociatedcircularconsequencesdiffraction
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Two results about equidistribution of tile orientations in primitive substitution tilings are stated, one for finitely many, one for infinitely many orientations. Furthermore, consequences for the associated diffraction spectra and the dynamical systems are discussed.

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