Multifractal Formalism for Almost all Self-Affine Measures |
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| Authors: | Julien Barral De-Jun Feng |
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| Affiliation: | 1. LAGA (UMR 7539), Département de Mathématiques, Institut Galilée, Université Paris 13, 99 Avenue Jean-Baptiste Clément, 93430, Villetaneuse, France
2. Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong
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| Abstract: | We conduct the multifractal analysis of self-affine measures for “almost all” family of affine maps. Besides partially extending Falconer’s formula of L q -spectrum outside the range 1 < q ≤ 2, the multifractal formalism is also partially verified. |
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