Dimension of measures: the probabilistic approach.

Yanick Heurteaux

Publicacions Matemàtiques (2007)

  • Volume: 51, Issue: 2, page 243-290
  • ISSN: 0214-1493

Abstract

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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.

How to cite

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Heurteaux, Yanick. "Dimension of measures: the probabilistic approach.." Publicacions Matemàtiques 51.2 (2007): 243-290. <http://eudml.org/doc/41895>.

@article{Heurteaux2007,
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.},
author = {Heurteaux, Yanick},
journal = {Publicacions Matemàtiques},
keywords = {Teoría de la medida; Dimensión de Hausdorff; Fractales; Medidas de probabilidad},
language = {eng},
number = {2},
pages = {243-290},
title = {Dimension of measures: the probabilistic approach.},
url = {http://eudml.org/doc/41895},
volume = {51},
year = {2007},
}

TY - JOUR
AU - Heurteaux, Yanick
TI - Dimension of measures: the probabilistic approach.
JO - Publicacions Matemàtiques
PY - 2007
VL - 51
IS - 2
SP - 243
EP - 290
AB - 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.
LA - eng
KW - Teoría de la medida; Dimensión de Hausdorff; Fractales; Medidas de probabilidad
UR - http://eudml.org/doc/41895
ER -

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