multinomstoc

Generates a pre-multifractal stochastic measure related to Multinomial Measure

Syntax

MES = multinomstoc(BASE,S)
MES = multinomstoc(...,'Method')
[MES,fs] = multinomstoc(...,'spec')

Description

MES = multinomstoc(BASE,S) Generates the pre-multifractal stochastic measure, MES, using a base of the multinomial, BASE, and a number of scales, S. The parameters BASE and S are positive integers not smaller than 2.

MES = multinomstoc(...,'Method') Generates the pre-multifractal stochastic measure, MES, using a specific method. The supported Methods can be choosen from the list below :

[MES,fs] = multinomstoc(...) Generates the pre-multifractal stochastic 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

multinom

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.
[3] Benoit B. MandelBrot, "Limit Lognormal Multifractal Measures", Frontiers of Physics, Landau Memorial Conference, Proceeding of Tel-Aviv Meeting, 1988 Errol Asher Gotsman, Yuval Ne'eman and Alexander Voronoi, New York Pergamon (1990) 309-340.