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Determining pure discrete spectrum for some self-affine tilings
Abstract : By the algorithm implemented in the paper by Akiyama-Lee [Adv. Math. 226(4):2855 13;2883, 2011] 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 Kenyon [Geom. Func. Anal. 6:471 13;488, 1996].
Cited literature [19 references]
https://hal.inria.fr/hal-01188903
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Submitted on : Monday, August 31, 2015 - 5:03:18 PM
Last modification on : Friday, December 10, 2021 - 2:56:29 PM
Long-term archiving on: : Tuesday, December 1, 2015 - 10:42:17 AM
Contributor : Coordination Episciences Iam Connect in order to contact the contributor
Submitted on : Monday, August 31, 2015 - 5:03:18 PM
Last modification on : Friday, December 10, 2021 - 2:56:29 PM
Long-term archiving on: : Tuesday, December 1, 2015 - 10:42:17 AM
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dmtcs-16-3-18.pdf
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