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math.MG2014★ 9 cited
Overlap coincidence to strong coincidence in substitution tiling dynamics
Shigeki Akiyama, Jeong-Yup Lee
Overlap coincidence is an equivalent criterion to pure discrete spectrum of the dynamics of self affine tilings. In the case of one dimension, strong coincidence on m letter irredu…
math.MG2014
Determining pure discrete spectrum for some self-affine tilings
Shigeki Akiyama, Franz Gaehler, Jeong-Yup Lee
By the algorithm implemented in the paper [2] by Akiyama-Lee and some of its predecessors, we have examined the pure discreteness of the spectrum for all irreducible Pisot substitu…