The singular continuous diffraction measure of the Thue-Morse chain

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dc.creatorBaake, Michael
dc.creatorGrimm, Uwe
dc.date2008-09-03
dc.date2008-09-29
dc.date.accessioned2026-07-07T10:07:22Z
dc.date.available2026-07-07T10:07:22Z
dc.descriptionThe paradigm for singular continuous spectra in symbolic dynamics and in mathematical diffraction is provided by the Thue-Morse chain, in its realisation as a binary sequence with values in $\{\pm 1\}$. 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.
dc.description6 pages, 1 figure; revised and improved version
dc.identifierhttps://arxiv.org/abs/0809.0580
dc.identifierhttp://arxiv.org/abs/0809.0580
dc.identifierJ. Phys. A: Math. Theor. 41 (2008) 422001 (6pp)
dc.identifierdoi:10.1088/1751-8113/41/42/422001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170609
dc.subjectDynamical Systems
dc.subjectMathematical Physics
dc.subject37B10, 42A82, 52C23
dc.titleThe singular continuous diffraction measure of the Thue-Morse chain
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