STUDY OF SOME MULTINOMIAL CASCADES
Anouar Ben Mabrouk (Tunisie) and Nidhal Ben Abdallah (Tunisie)
Received June 19, 2006
References:
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[1] A. Arneodo, E. Bacry and J. F. Muzy, Random cascades on wavelet dyadic trees, J. Math. Phys. 39 (1998), 4142-4164.
[2] A. Ben Mabrouk, Multifractal analysis of some non isotropic quasi-self-similar functions, Far East J. Dynamical System 7(1) (2005), 23-63.
[3] A. Ben Mabrouk, Wavelet analysis of anisotropic quasi-self-similar functions in a nonlinear case. Colloque Wave 2006, Federal Polytechnic School of Lausanne, Switzerland, 10th to 14th of July 2006.
[4] A. Ben Mabrouk, A note on multifractal measures, Internat. J. Pure Appl. Math. 2006, to appear.
[5] S. Graf, Random fractals, Rend. Istit. Mat. Univ. Trieste 23(1) (1991), 81-144.
[6] J. Hutchinson, Fractals and self-similarity, Indiana Univ. Math. J. 30 (1981), 713-747.
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Keywords and phrases:
statistical self-similarity, random cascade models, multinomial measures, Hausdorff measure. |
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