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arXiv 2014-03-03 0 views

Determining pure discrete spectrum for some self-affine tilings

Akiyama, Shigeki · Gaehler, Franz · Lee, Jeong-Yup

Original · EN

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 substitutions of trace less than or equal to 2, and some cases of planar tilings generated by boundary substitutions due to the paper [17] by Kenyon.

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