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تسجيل مستخدم جديدSpectral analysis of a family of binary inflation rules
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تأليف
Michael Baake
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The family of primitive binary substitutions defined by $1 mapsto 0 mapsto 0 1^m$ with $minmathbb{N}$ is investigated. The spectral type of the corresponding diffraction measure is analysed for its geometric realisation with prototiles (intervals) of natural length. Apart from the well-known Fibonacci inflation ($m=1$), the inflation rules either have integer inflation factors, but non-constant length, or are of non-Pisot type. We show that all of them have singular diffraction, either of pure point type or essentially singular continuous.
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