Spectrum of a Rudin-Shapiro-like sequence

Chan, Lax and Grimm, Uwe (2017). Spectrum of a Rudin-Shapiro-like sequence. Advances in Applied Mathematics, 87 pp. 16–23.

DOI: https://doi.org/10.1016/j.aam.2016.12.003


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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