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Maximum density for the Sierpinski carpet

✍ Scribed by Baoguo Jia


Book ID
108077365
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
530 KB
Volume
57
Category
Article
ISSN
0898-1221

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Multifractal decomposition of the Sierpi
✍ Dominique Simpelaere πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 863 KB

We analyse the multifractal decomposition of a measure defined on a general Sierpinski carpet. We compute the dimension spectrum f(a) and we show that this function is real-analytic on a certain domain when it is not degenerated. Actually, we prove that f is the Legendre-Fenchel transformation of a