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arXiv · 1611.04446

Spectrum of a Rudin-Shapiro-like sequence

Lax Chan·Uwe Grimm
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Abstract

We show that a recently proposed Rudin-Shapiro-like sequence, with balanced weights, has purely singular continuous diffraction spectrum, in contrast to the well-known Rudin-Shapiro sequence whose diffraction is absolutely continuous. This answers a question that had been raised about this new sequence.

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Lax Chan, Uwe Grimm. 2016-11-14. Spectrum of a Rudin-Shapiro-like sequence. https://doi.org/10.1016/j.aam.2016.12.003

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