TERMIUM Plus®

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LEVY SET [1 record]

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Record 1 1989-11-24

English

Subject field(s)
  • Mathematics
  • Computer Graphics
CONT

Mandelbrot 1965c suggested an alternative that has proved to be better in every way: the Lévy set. Once the dimension is prescribed, the Lévy set is the uniquely determined combination of two desirable properties. Like the randomized truncated Cantor set, it is a recurrent (renewal) random process. Like the Cantor set, it is a self similar fractal. Better than the Cantor set, this Lévy set is statistically identical to itself reduced in an arbitrary ratio r between O and 1.

French

Domaine(s)
  • Mathématiques
  • Infographie
CONT

Mandelbrot propose une construction dans le plan (ou l'espace) de l'ensemble de Lévy, en traçant, à partir d'un processus linéaire, des bandes (ou des plaquettes) dans des directions aléatoires du plan (ou de l'espace), construction qui, engendre des objets comparables à des réseaux de fractures hiérarchisés.

Spanish

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