TERMIUM Plus®

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MULTIFRACTALE GEOMETRIQUE [2 records]

Record 1 1995-09-11

English

Subject field(s)
  • Mathematics
  • Computer Graphics
OBS

Term coined by Benoît Mandelbrot.

French

Domaine(s)
  • Mathématiques
  • Infographie
DEF

Dans la terminologie de B. Mandelbrot, une forme très inhomogène de distribution de masses.

OBS

La percolation est un phénomène multifractal.

PHR

multifractale croissante, géométrique, massique.

PHR

multifractale de structure, de texture.

Spanish

Save record 1

Record 2 1991-05-16

English

Subject field(s)
  • Mathematics
CONT

If there exists a set of different mass indices the growing structure will be called a geometrical (or mass) multifractal ..., since the measure generating the spectrum is a uniform mass distribution....

OBS

i) Non-uniform recursive fractals are multifractals in a geometrical sense. ii) Since geometrical multifractality as defined above is a consequence of local density fluctuations, it should be most pronounced in inhomogeneous growth processes. iii) A necessary condition for observing this phenomenon is the existence of three well separated length scales ... which may require the linear size L to be close to the largest cluster size ever produced in numerical simulations.

French

Domaine(s)
  • Mathématiques

Spanish

Save record 2

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