Correlation functions of the Rudin–Shapiro sequence : Dedicated to the memory of Uwe Grimm
Mazáč J (2023)
Indagationes Mathematicae 35(5): 771-795.
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Abstract / Bemerkung
In this paper, we show that all odd-point correlation functions of the balanced Rudin–Shapiro sequence vanish and that all even-point correlation functions depend only on a single number, which holds for any weighted correlation function as well. For the four-point correlation functions, we provide a more detailed exposition which reveals some arithmetic structures and symmetries. In particular, we show that one can obtain the autocorrelation coefficients of its topological factor with maximal pure point spectrum among them.
Erscheinungsjahr
2023
Zeitschriftentitel
Indagationes Mathematicae
Band
35
Ausgabe
5
Seite(n)
771-795
ISSN
0019-3577
Page URI
https://pub.uni-bielefeld.de/record/2977914
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Mazáč J. Correlation functions of the Rudin–Shapiro sequence : Dedicated to the memory of Uwe Grimm. Indagationes Mathematicae. 2023;35(5):771-795.
Mazáč, J. (2023). Correlation functions of the Rudin–Shapiro sequence : Dedicated to the memory of Uwe Grimm. Indagationes Mathematicae, 35(5), 771-795. https://doi.org/10.1016/j.indag.2023.03.003
Mazáč, Jan. 2023. “Correlation functions of the Rudin–Shapiro sequence : Dedicated to the memory of Uwe Grimm”. Indagationes Mathematicae 35 (5): 771-795.
Mazáč, J. (2023). Correlation functions of the Rudin–Shapiro sequence : Dedicated to the memory of Uwe Grimm. Indagationes Mathematicae 35, 771-795.
Mazáč, J., 2023. Correlation functions of the Rudin–Shapiro sequence : Dedicated to the memory of Uwe Grimm. Indagationes Mathematicae, 35(5), p 771-795.
J. Mazáč, “Correlation functions of the Rudin–Shapiro sequence : Dedicated to the memory of Uwe Grimm”, Indagationes Mathematicae, vol. 35, 2023, pp. 771-795.
Mazáč, J.: Correlation functions of the Rudin–Shapiro sequence : Dedicated to the memory of Uwe Grimm. Indagationes Mathematicae. 35, 771-795 (2023).
Mazáč, Jan. “Correlation functions of the Rudin–Shapiro sequence : Dedicated to the memory of Uwe Grimm”. Indagationes Mathematicae 35.5 (2023): 771-795.
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