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The singular continuous diffraction measure of the Thue-Morse chain

Baake, Michael and Grimm, Uwe (2008). The singular continuous diffraction measure of the Thue-Morse chain. Journal of Physics A: Mathematical and Theoretical, 41(42) p. 422001.

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DOI (Digital Object Identifier) Link: http://doi.org/10.1088/1751-8113/41/42/422001
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Abstract

The paradigm for singular continuous spectra in symbolic dynamics and in mathematical diffraction is provided by the Thue-Morse chain, in its realization as a binary sequence with values in ±1. We revisit this example and derive a functional equation together with an explicit form of the corresponding singular continuous diffraction measure, which is related to the known representation as a Riesz product.

Item Type: Journal Article
Copyright Holders: 2008 Institute of Physics
ISSN: 1751-8121
Project Funding Details:
Funded Project NameProject IDFunding Body
Combinatorics of Sequences and Tilings and its ApplicationsEP/D058465/1EPSRC (Engineering and Physical Sciences Research Council)
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Mathematics, Computing and Technology
Item ID: 11892
Depositing User: Uwe Grimm
Date Deposited: 30 Sep 2008 13:49
Last Modified: 24 Feb 2016 14:30
URI: http://oro.open.ac.uk/id/eprint/11892
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