The singular continuous diffraction measure of the Thue-Morse chain

Baake M, Grimm U (2008)
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 41(42).

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Baake, MichaelUniBi; Grimm, Uwe
Abstract / Bemerkung
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.
Erscheinungsjahr
2008
Zeitschriftentitel
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Band
41
Ausgabe
42
ISSN
1751-8113
Page URI
https://pub.uni-bielefeld.de/record/1586070

Zitieren

Baake M, Grimm U. The singular continuous diffraction measure of the Thue-Morse chain. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. 2008;41(42).
Baake, M., & Grimm, U. (2008). The singular continuous diffraction measure of the Thue-Morse chain. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 41(42). https://doi.org/10.1088/1751-8113/41/42/422001
Baake, M., and Grimm, U. (2008). The singular continuous diffraction measure of the Thue-Morse chain. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 41.
Baake, M., & Grimm, U., 2008. The singular continuous diffraction measure of the Thue-Morse chain. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 41(42).
M. Baake and U. Grimm, “The singular continuous diffraction measure of the Thue-Morse chain”, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, vol. 41, 2008.
Baake, M., Grimm, U.: The singular continuous diffraction measure of the Thue-Morse chain. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. 41, (2008).
Baake, Michael, and Grimm, Uwe. “The singular continuous diffraction measure of the Thue-Morse chain”. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 41.42 (2008).

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