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math.SP2008★ 3 cited
About Substitution Tilings with Statistical Circular Symmetry
Dirk Frettlöh
Two results about equidistribution of tile orientations in primitive substitution tilings are stated, one for finitely many, one for infinitely many orientations. Furthermore, cons…
math.SP2006★ 30 cited
A radial analogue of Poisson's summation formula with applications to powder diffraction and pinwheel patterns
Michael Baake, Dirk Frettlöh, Uwe Grimm
Diffraction images with continuous rotation symmetry arise from amorphous systems, but also from regular crystals when investigated by powder diffraction. On the theoretical side,…