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.
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