Dimension of measures: the probabilistic approach

• Autores: Yanick Heurteaux
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 51, Nº 2, 2007, págs. 243-290
• Idioma: español
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• Resumen

  • 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.