Dimension des courbes planes, papiers plies et suites de Rudin-Shapiro

Michel Mendès France; G. Tenenbaum

Bulletin de la Société Mathématique de France (1981)

  • Volume: 109, page 207-215
  • ISSN: 0037-9484

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Mendès France, Michel, and Tenenbaum, G.. "Dimension des courbes planes, papiers plies et suites de Rudin-Shapiro." Bulletin de la Société Mathématique de France 109 (1981): 207-215. <http://eudml.org/doc/87392>.

@article{MendèsFrance1981,
author = {Mendès France, Michel, Tenenbaum, G.},
journal = {Bulletin de la Société Mathématique de France},
keywords = {chaotic behaviour; plane curves; systematic folding; generalised Rudin-Shapiro sequences},
language = {fre},
pages = {207-215},
publisher = {Société mathématique de France},
title = {Dimension des courbes planes, papiers plies et suites de Rudin-Shapiro},
url = {http://eudml.org/doc/87392},
volume = {109},
year = {1981},
}

TY - JOUR
AU - Mendès France, Michel
AU - Tenenbaum, G.
TI - Dimension des courbes planes, papiers plies et suites de Rudin-Shapiro
JO - Bulletin de la Société Mathématique de France
PY - 1981
PB - Société mathématique de France
VL - 109
SP - 207
EP - 215
LA - fre
KW - chaotic behaviour; plane curves; systematic folding; generalised Rudin-Shapiro sequences
UR - http://eudml.org/doc/87392
ER -

References

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  1. [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. Zbl0472.10035MR82e:10092
  2. [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. [3] DEKKING (F. M.). — Constructics voor 0-1 rijen met strikt ergodische ofgesloten baar, Doctoraalscriptie, 1974, Pays-Bas. 
  4. [4] GARDNER (M.). — Mathematical magic show, Knopf, New York, 1977. 
  5. [5] KAHANE (J. P.). — Hélices et quasi-hélices, Advances in mathematics (supplementary studies) dédié à L. Schwartz (à paraître). Zbl0472.43005
  6. [6] MANDELBROT (B.). — Objets fractals, forme, hasard et dimension, Nouvelle bibliothèque scient., Flammarion, 1975. Zbl0900.00018MR57 #2015
  7. [7] MENDÈS FRANCE (M.). — Principe de la symétrie perturbée, Sém. Théorie des Nombres, Paris, 1980. Zbl0451.10019
  8. [8] RUDIN (W.). — Some theorems on Fourier coefficients, Proc. Am. Math. Soc., vol. 10, 1959, p. 855-859. Zbl0091.05706MR22 #6979
  9. [9] SHAPIRO (H. S.). — Extremal problems for polynomials and power series, Thesis, M.I.T., 1951. 

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