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48 p, 363.3 KB Dimension of measures: the probabilistic approach / Heurteaux, Yanick (Université Blaise Pascal (França). Laboratoire de Mathématiques)
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. [...]
2007 - 10.5565/PUBLMAT_51207_01
Publicacions matemàtiques, V. 51 n. 2 (2007) p. 243-290  

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