Dimension of measures : the probabilistic approach

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. Text complet amb embargament. Consulteu les "Condicions de l'accés obert" d'aquesta revista.