Dimension of measures: the probabilistic approach
Heurteaux, Yanick (Université Blaise Pascal (França). Laboratoire de Mathématiques)

Date:	2007
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. Text complet amb embargament. Consulteu les "Condicions de l'accés obert" d'aquesta revista.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Hausdorff dimension ; Packing dimension ; Lower and upper dimension of a measure ; Multifractal analysis ; Quasi-Bernoulli measures
Published in:	Publicacions matemàtiques, V. 51 n. 2 (2007) p. 243-290, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/218489
DOI: 10.5565/PUBLMAT_51207_01

48 p, 363.3 KB

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