Various tools can be used to calculate or estimate the dimension of measures. Using a probabilistic interpretation, we propose very simple proofs for the main inequalities related to this notion. We also discuss the case of quasi-Bernoulli measures and point out the deep link existing between the calculation of the dimension of auxiliary measures and the multifractal analysis.
@article{urn:eudml:doc:41895,
title = {Dimension of measures: the probabilistic approach.},
journal = {Publicacions Matem\`atiques},
year = {2007},
pages = {243-290},
zbl = {1134.28003},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41895}
}
Heurteaux, Yanick. Dimension of measures: the probabilistic approach.. Publicacions Matemàtiques, (2007), pp. 243-290. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41895/