multinom

Generates a pre-multifractal deterministic measure related to Multinomial Measure

Syntax

MES = multinom(BASE,S,VP)
[MES,fs] = multinom(...,'spec')

Description

MES = multinom(BASE,S,VP) Generates the pre-multifractal deterministic measure, MES, using a base of the multinomial, BASE, a number of scales, S and a vector VP containing the weight coefficients. The parameters BASE and S are positive integers not smaller than 2, the elements in the parameter VP are reals in(0,1).

[MES,fs] = multinom(...) Generates the pre-multifractal deterministic measure, MES, and computes the associated theoretical multifractal spectrum, fs. The output fs is a structure that contains the exponents, fs.exp and the spectrum, fs.spec.

Examples

See Also

multinomstoc

References

[1] Carl J. G. Evertsz and Benoit B. MandelBrot, "Multifractal Measures", Chaos and Fractals, New Frontiers of Science, Appendix B, Peitgen, Juergens and Saupe, Springer Verlag, Springer Verlag (1992) 921-953.
[2] Benoit B. MandelBrot, "A class of Multinomial Multifractal Measures with negative (latent) values for the 'Dimension' f(alpha)", Fractals' Physical Origins and Properties, Proceeding of the Eric Meeting, 1988, L. Pietronero, Plenum Press, New York (1989) 3-29.