Multiplications aléatoires et dimensions de Hausdorff

Jean-Pierre Kahane

Annales de l'I.H.P. Probabilités et statistiques (1987)

  • Volume: 23, Issue: S2, page 289-296
  • ISSN: 0246-0203

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Kahane, Jean-Pierre. "Multiplications aléatoires et dimensions de Hausdorff." Annales de l'I.H.P. Probabilités et statistiques 23.S2 (1987): 289-296. <http://eudml.org/doc/77310>.

@article{Kahane1987,
author = {Kahane, Jean-Pierre},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {Hausdorff dimensions; random operator; positive martingales; Radon measure},
language = {fre},
number = {S2},
pages = {289-296},
publisher = {Gauthier-Villars},
title = {Multiplications aléatoires et dimensions de Hausdorff},
url = {http://eudml.org/doc/77310},
volume = {23},
year = {1987},
}

TY - JOUR
AU - Kahane, Jean-Pierre
TI - Multiplications aléatoires et dimensions de Hausdorff
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1987
PB - Gauthier-Villars
VL - 23
IS - S2
SP - 289
EP - 296
LA - fre
KW - Hausdorff dimensions; random operator; positive martingales; Radon measure
UR - http://eudml.org/doc/77310
ER -

References

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  1. [1] J.-P. Kahane, Some Random Séries of Functions, 1re éd., Heath Math. Monographs, 1968, 184 p; 2e éd., Cambridge Univ. Press, 1986, 300 p. Zbl0192.53801MR254888
  2. [2] J.-P. Kahane, Sur le chaos multiplicatif, Ann. Sciences Math. Québec, vol. 9, 1985, p. 105-150, voir aussi C.R. Acad. Sc., t. 301, 1985, p. 329-332. Zbl0596.60041MR829798
  3. [3] J.-P. Kahane, Positive Martingales and Random Measures, Chinese Ann. Math., 8B (1987) p. 1-12. Zbl0636.60049MR886744
  4. [4] J.-P. Kahane et J. Peyrière, Sur certaines martingales de Benoit Mandelbrot, Advances Math., vol. 22, 1976, p. 131-145. Zbl0349.60051MR431355
  5. [5] B. Mandelbrot, Intermittent Turbulence in Self-Similar Cascades: Divergence of High Moments and Dimension of the Carrier, J. of Fluid Mechanics, vol. 62, 1974, p. 331- 358. Zbl0289.76031

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