The multifractal box dimensions of typical measures
Frédéric Bayart
Fundamenta Mathematicae, Tome 219 (2012), p. 145-162 / Harvested from The Polish Digital Mathematics Library
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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 ℝd. Our results are new even in the context of box dimensions of measures.

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:282998 
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     title = {The multifractal box dimensions of typical measures},
     journal = {Fundamenta Mathematicae},
     volume = {219},
     year = {2012},
     pages = {145-162},
     zbl = {1271.28003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm219-2-5}
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Frédéric Bayart. The multifractal box dimensions of typical measures. Fundamenta Mathematicae, Tome 219 (2012) pp. 145-162. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm219-2-5/