Intersection of triadic Cantor sets with their translates. II. Hausdorff measure spectrum function and its introduction for the classification of Cantor sets

Chaos, Solitons and Fractals

Volumn 19, Issue 1, 2004, Pages 35-46

  Li, Jun ^a   Nekka, Fahima ^a  

^a UNIVERSITÉ DE MONTRÉAL   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL GEOMETRY; SPECTRUM ANALYSIS;

CANTOR SETS;

FRACTALS;

EID: 0037774624     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(03)00096-1     Document Type: Article

References (7)

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3. Sornette D. Discrete-scale invariance and complex dimensions. Phys. Rep. 297:1998;241.
4. Sornette D. Critical phenomena in natural sciences. chaos, fractals, selforganization and disorder: concepts and tools. 2000;Springer.
5. Ayer E., Strichartz R.S. Exact Hausdorff measure and intervals of maximum density for Cantor sets. Trans. Amer. Math. Soc. 351(9):1999;3725.
6. Nekka F., Li J. Intersection of triadic Cantor sets with their translates - I. Fundamental properties. Chaos, Solitons & Fractals. 13(9):2002;1807.
7. Allain C., Cloitre M. Characterizing lacunarity of random and deterministic fractal sets. Phys. Rev. A. 44:1991;3552.