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

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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About

• Item ORO ID
• 48096
• Item Type
• Journal Item
• ISSN
• 0196-8858
• Keywords
• substitution dynamical system; spectral measure; Bartlett's algorithm
• Academic Unit or School
• Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
  Faculty of Science, Technology, Engineering and Mathematics (STEM)
• Research Group
• ?? hwpra ??
• Copyright Holders
• © 2016 Elsevier Inc.
• Depositing User
• Uwe Grimm