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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…