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 ca...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2007 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:18754 |
| Acceso en línea: | https://ddd.uab.cat/record/18754 https://dx.doi.org/urn:doi:10.5565/PUBLMAT_51207_01 |
| Access Level: | acceso abierto |
| Palabra clave: | Hausdorff dimension Packing dimension Lower and upper dimension of a measure Multifractal analysis Quasi-Bernoulli measures |
| Sumario: | 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. |
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