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arxiv: 1110.6578 · v2 · pith:W72VQRQTnew · submitted 2011-10-30 · 🧮 math.CA

Multifractal formalism for almost all self-affine measures

classification 🧮 math.CA
keywords multifractalalmostformalismmeasurespartiallyself-affineaffineanalysis
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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 $1< q\leq 2$, the multifractal formalism is also partially verified.

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