Baake, Michael and Grimm, Uwe
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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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.
||2008 Institute of Physics
|Project Funding Details:
|Funded Project Name||Project ID||Funding Body|
|Combinatorics of Sequences and Tilings and its Applications||EP/D058465/1||EPSRC (Engineering and Physical Sciences Research Council)|
||Mathematics, Computing and Technology > Mathematics and Statistics
||30 Sep 2008 13:49
||21 Mar 2014 16:06
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