Mendès France, Michel; Tenenbaum, G. Dimension des courbes planes, papiers plies et suites de Rudin-Shapiro. (French) Zbl 0468.10033 Bull. Soc. Math. Fr. 109, 207-215 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 5 ReviewsCited in 27 Documents MSC: 11K99 Probabilistic theory: distribution modulo \(1\); metric theory of algorithms 11B83 Special sequences and polynomials 54F99 Special properties of topological spaces Keywords:chaotic behaviour; plane curves; systematic folding; generalised Rudin-Shapiro sequences PDF BibTeX XML Cite \textit{M. Mendès France} and \textit{G. Tenenbaum}, Bull. Soc. Math. Fr. 109, 207--215 (1981; Zbl 0468.10033) Full Text: DOI Numdam EuDML Online Encyclopedia of Integer Sequences: The Rudin-Shapiro or Golay-Rudin-Shapiro sequence (coefficients of the Shapiro polynomials). References: [1] CHRISTOL (G.) , KAMAE, (T.) , MENDÈS FRANCE (M.) et RAUZY (G.) . - Suites algébriques, automates et substitutions , Bull. Soc. Math. Fr., 108, 1980 , p. 401-419. Numdam | MR 82e:10092 | Zbl 0472.10035 · Zbl 0472.10035 [2] DAVIS (C.) and KNUTH (D.) . - Number representations and dragon curves I, II , J. recreational Math., vol. 3, 1970 , p. 61-81 et 133-149. [3] DEKKING (F. M.) . - Constructics voor 0-1 rijen met strikt ergodische ofgesloten baar , Doctoraalscriptie, 1974 , Pays-Bas. [4] GARDNER (M.) . - Mathematical magic show , Knopf, New York, 1977 . · Zbl 0729.00004 [5] KAHANE (J. P.) . - Hélices et quasi-hélices , Advances in mathematics (supplementary studies) dédié à L. Schwartz (à paraître). [6] MANDELBROT (B.) . - Objets fractals , forme, hasard et dimension, Nouvelle bibliothèque scient., Flammarion, 1975 . MR 57 #2015 | Zbl 0900.00018 · Zbl 0900.00018 [7] MENDÈS FRANCE (M.) . - Principe de la symétrie perturbée , Sém. Théorie des Nombres, Paris, 1980 . Zbl 0451.10019 · Zbl 0451.10019 [8] RUDIN (W.) . - Some theorems on Fourier coefficients , Proc. Am. Math. Soc., vol. 10, 1959 , p. 855-859. MR 22 #6979 | Zbl 0091.05706 · Zbl 0091.05706 [9] SHAPIRO (H. S.) . - Extremal problems for polynomials and power series , Thesis, M.I.T., 1951 . This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.