Suite de Rudin-Shapiro et modèle d'Ising

DOI10.24033/bsmf.2033zbMath0592.10049OpenAlexW2469579911MaRDI QIDQ3720684

Jean-Paul Allouche, Michel Mendès France

Publication date: 1985

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1985__113__273_0

zbMATH Keywords

partition functionRudin-Shapiro sequenceWeyl sumbinary representationone-dimensional cyclic Ising model

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Trigonometric polynomials, inequalities, extremal problems (42A05) Distribution modulo one (11J71) Exponential sums and character sums (11L99) Statistical mechanics, structure of matter (82-XX)

Related Items

Une nouvelle propriété des suites de Rudin-Shapiro. (A new property of Rudin-Shapiro sequences), Systèmes de numération et fonctions fractales relatifs aux substitutions. (Numeration systems and fractal functions related to substitutions), Rudin–Shapiro sequences along squares, Groups and dynamical systems. Discrete time dynamics on the E(2) group, Weyl sums over integers with affine digit restrictions

Cites Work

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• Some Theorems on Fourier Coefficients
• Suites algébriques, automates et substitutions
• Note on the Shapiro Polynomials
• Statistics of the Two-Dimensional Ferromagnet. Part I