Wavelet analysis of nonlinear self-similar distributions with oscillating singularity

作者：Ben Mabrouk Anouar^*

来源：International Journal of Wavelets, Multiresolution and Information Processing, 2008, 6(3): 447-457.

• wavelets
• self-similarity
• multifractal formalism
• oscillating singularities

In the present paper, the properties of some nonlinear self-similar distributions involving both Holder and oscillating singularities are studied. Wavelets are applied to prove that such distributions do not satisfy the classical multifractal formalism whereas they satisfy a grand canonical one. The paper in its subject is an extension of our work in Ref. 7.

• 出版日期2008-5