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arXiv · 1207.1004

Multifractal spectra of typical and prevalent measures

Frédéric Bayart
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Abstract

We prove that, in the Baire category sense, a typical measure supported by a compact set admits a linear lower singularity spectrum. We investigate the same question for the upper singularity spectrum and for other forms of genericity.

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Frédéric Bayart. 2012-11-09. Multifractal spectra of typical and prevalent measures. https://doi.org/10.1088/0951-7715%2F26%2F2%2F353

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