Multifractal decomposition of the Sierpi
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Dominique Simpelaere
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Article
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1995
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Elsevier Science
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English
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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