Multifractal spectra of typical and prevalent measures
classification
🧮 math.PR
math.CA
keywords
singularityspectrumtypicaladmitsbairecategorycompactforms
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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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