70 citations · 262 across the 32 of their papers we have counts for
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math.PR2012★ 18 cited
Multifractal spectra of typical and prevalent measures
Frédéric Bayart
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…
math.CA2012
The multifractal box dimensions of typical measures
Frédéric Bayart
We compute the typical (in the sense of Baire's category theorem) multifractal box dimensions of measures on a compact subset of . Our results are new even in the cont…
math.CA2012★ 5 cited
How behave the typical -dimensions of measures?
Frédéric Bayart
We compute, for a compact set , the value of the upper and of the lower -dimension of a typical probability measure with support contained in , for any…