Une nouvelle propriété des suites de Rudin-Shapiro. (A new property of Rudin-Shapiro sequences)

DOI10.5802/aif.1089zbMath0597.10054OpenAlexW1968289272MaRDI QIDQ1078607

Martine Queffélec

Publication date: 1987

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1987__37_2_115_0

zbMATH Keywords

spectrumdynamical systemspectral multiplicitysubstitutionextremal propertiesmaximal spectral typemultiplicity functionRiesz productsautomaton sequenceq-generalized Rudin-Shapiro sequenceRudin-Shapiro sequences

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Trigonometric polynomials, inequalities, extremal problems (42A05)

Related Items

Dynamical directions in numeration, Discrete correlations of order 2 of generalised Rudin-Shapiro sequences: a combinatorial approach, Systèmes de numération et fonctions fractales relatifs aux substitutions. (Numeration systems and fractal functions related to substitutions), Rudin–Shapiro sequences along squares, Spectral theory of spin substitutions, On the spectrum of \(\alpha \)-rigid maps, Le p-pliage de papier, The Linus Sequence, Some studies on the \((p,q)\)-type sequences, A non-singular transformation whose spectrum has Lebesgue component of multiplicity one, Palindrome complexity.

Cites Work

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• Über Summen von Rudin-Shapiroschen Koeffizienten
• Transformations of Fourier coefficients
• Some Theorems on Fourier Coefficients
• Suite de Rudin-Shapiro et modèle d'Ising
• Dimension des courbes planes, papiers plies et suites de Rudin-Shapiro
• Suites algébriques, automates et substitutions
• The spectrum of dynamical systems arising from substitutions of constant length
• Note on the Shapiro Polynomials
• The Structure of Substitution Minimal Sets