multifractaladj.n.

1984 Jrnl. Physics A 17 3522 These are some indications that multifractal sets are indeed necessary to describe the properties of structure functions in turbulent flows.

1990 New Scientist 15 Sept. 42/1 The pattern is not itself a fractal set, but a novel combination of a multitude of fractal sets. It is called a multifractal distribution, or multifractal measure.

1996 Nature 25 July 312/2 To achieve agreement..it is necessary to adopt a ‘multifractal’ rather than a simple fractal viewpoint, involving a continuum of coexisting fractal dimensions.

1985 U. Frisch & G. Parisi in Proc. Internat. School Physics Enrico Fermi 88 85 Mandelbrot..and others..have considered models with singularities concentrated on a set ⊂R³ having noninteger (fractal) Hausdorff dimension. We shall here show that the data suggest the existence of a hierarchy of such sets (a ‘multifractal’).

1988 Nature 29 Sept. 409/1 Just as completely random phenomena in nature may generate shapes that are fractal, phenomena with spatial correlations are sometimes multifractals.

1989 I. Stewart Does God play Dice? xi. 229 It [sc. the universe] appears to be a ‘multi fractal’, having detailed but not self-similar structure on many scales.

1999 Sci. Amer. Feb. 53/1 Multifractals describe accurately the relation between the shape of the generator and the patterns of up-and-down swings of prices to be found on charts of real market data.