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The correlation dimension of the Sierpinski carpet

โœ Scribed by Dominique Simpelaere


Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
639 KB
Volume
4
Category
Article
ISSN
0960-0779

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Multifractal decomposition of the Sierpi
โœ Dominique Simpelaere ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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