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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.

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DOI (Digital Object Identifier) Link: https://doi.org/10.1016/j.aam.2016.12.003
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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.

Item Type: Journal Item
Copyright Holders: 2016 Elsevier Inc.
ISSN: 0196-8858
Keywords: substitution dynamical system; spectral measure; Bartlett's algorithm
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Research Group: Health and Wellbeing PRA (Priority Research Area)
Item ID: 48096
Depositing User: Uwe Grimm
Date Deposited: 09 Jan 2017 10:02
Last Modified: 05 Mar 2018 10:59
URI: http://oro.open.ac.uk/id/eprint/48096
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