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arxiv: 1204.6014 · v1 · pith:DZOF7OZOnew · submitted 2012-04-26 · 🧮 math.CA · math.PR

The multifractal box dimensions of typical measures

classification 🧮 math.CA math.PR
keywords dimensionsmeasuresmultifractaltypicalbairecategorycompactcompute
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We compute the typical (in the sense of Baire's category theorem) multifractal box dimensions of measures on a compact subset of $\mathbb R^d$. Our results are new even in the context of box dimensions of measures.

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