Estimations de la dimension inférieure et de la dimension supérieure des mesures
Yanick Heurteaux (1998)
Annales de l'I.H.P. Probabilités et statistiques
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Yanick Heurteaux (1998)
Annales de l'I.H.P. Probabilités et statistiques
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Ai Fan (1994)
Studia Mathematica
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Firstly, we introduce the lower and upper dimensions for a measure defined on a metric space. Secondly, we establish the dimension formulas and characterize the unidimensional measures which were introduced by J.-P. Kahane. Lastly, we give some applications of these to the calculus of dimensions and the multifractal analysis of certain well known measures such as Lebesgue measures on Cantor sets, Gibbs measures, Markov measures and Riesz products etc.
A. Thomas (1974)
Mémoires de la Société Mathématique de France
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P. Thieullen (1992)
Annales de l'I.H.P. Analyse non linéaire
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Jacques Peyrière (1986)
Bulletin de la Société Mathématique de France
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Jean Leray (1959)
Bulletin de la Société Mathématique de France
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Samuel Eilenberg (1935)
Fundamenta Mathematicae
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