Dimensions des spirales

Yves Dupain; Michel Mendès France; Claude Tricot

Bulletin de la Société Mathématique de France (1983)

  • Volume: 111, page 193-201
  • ISSN: 0037-9484

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Dupain, Yves, Mendès France, Michel, and Tricot, Claude. "Dimensions des spirales." Bulletin de la Société Mathématique de France 111 (1983): 193-201. <http://eudml.org/doc/87437>.

@article{Dupain1983,
author = {Dupain, Yves, Mendès France, Michel, Tricot, Claude},
journal = {Bulletin de la Société Mathématique de France},
keywords = {Kolmogorov dimension; Steinhaus dimension; coincidence for large class of spirals; Bouligand dimension},
language = {fre},
pages = {193-201},
publisher = {Société mathématique de France},
title = {Dimensions des spirales},
url = {http://eudml.org/doc/87437},
volume = {111},
year = {1983},
}

TY - JOUR
AU - Dupain, Yves
AU - Mendès France, Michel
AU - Tricot, Claude
TI - Dimensions des spirales
JO - Bulletin de la Société Mathématique de France
PY - 1983
PB - Société mathématique de France
VL - 111
SP - 193
EP - 201
LA - fre
KW - Kolmogorov dimension; Steinhaus dimension; coincidence for large class of spirals; Bouligand dimension
UR - http://eudml.org/doc/87437
ER -

References

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  1. [1] D'ARCY THOMPSON, On Growth and Form, J. T. BONNER, éd., Cambridge University Press, 1969. 
  2. [2] BOREL (E.). — Éléments de la théorie des ensembles, Albin-Michel, 1949. Zbl0041.37502MR11,88c
  3. [3] BOULIGAND (G.). — Sur la notion d'ordre de mesure d'un ensemble fermé, Bull. Sc. Math., vol. 2, n° 53, 1929, p. 185-192. Zbl55.0315.03JFM55.0315.03
  4. [4] COOK (T. A.). — Curves of Life, Dover, 1979. 
  5. [5] DEKKING (F. M.) et MENDÈS FRANCE (M.). — Uniform Distribution Modulo One : a Geometrical Viewpoint, Jour. für die Reine und Angewandte Mathematik, vol. 329, 1981, p. 143-153. Zbl0459.10025MR83b:10062
  6. [6] KOLMOGOROV (A. N.) et TIHOMIROV (Y. M.). — -ɛ-Entropy and -ɛ-Capacity of Sets in Functional Spaces, Amer. Math. Soc. Translations, vol. 17, série 2, 1961, p. 277-364. Zbl0133.06703
  7. [7] MANDELBROT (B. B.). — Fractals, Form Chance and Dimension, Freeman, 1977. Zbl0376.28020MR57 #11224
  8. [8] MENDÈS FRANCE (M.). — Chaotic Curves, Luminy symposium on Oscillations, sept. 1981, J. DEMONGEOT, éd., Springer Verlag Lecture Notes in Biomathematics (à paraître). 
  9. [9] MENDÈS FRANCE (M.) et TENENBAUM (G.). — Dimension des courbes planes, papiers pliés et suites de Rudin-Shapiro, Bull. Soc. math. France, t. 109, 1981, p. 207-215. Zbl0468.10033MR82k:10073
  10. [10] SANTALÓ (L.). — Integral Geometry and Geometric Probability, Encyclopedia of Mathematics, Addison Wesley, 1976. Zbl0342.53049MR55 #6340
  11. [11] STEINHAUS (H.). — Length Shape and Area, Colloquium Mathematicum, vol. 3, 1954, p. 1-13. Zbl0057.14602MR16,121h
  12. [12] STEVENS (P. S.). — Les formes dans la nature, Seuil Science Ouverte, 1978. 
  13. [13] TRICOT (C.). — Douze définitions de la densité logarithmique, C.R. Acad. Sc. Paris, t. 293, série I, 1981, p. 549-552. Zbl0483.28011MR83i:28007

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