Dimension of measures: the probabilistic approach

Yanick Heurteaux

doi:pm/1185912163

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Home > Journals > Publ. Mat. > Volume 51 > Issue 2 > Article

2007 Dimension of measures: the probabilistic approach

Yanick Heurteaux

Publ. Mat. 51(2): 243-290 (2007).

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Abstract

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.