∈-entropy of sets of probability distribution functions and their Fourier-Stieltjes transforms
Margrit Gauglhofer, A. T. Bharucha-Reid (1973)
Annales de l'I.H.P. Probabilités et statistiques
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Margrit Gauglhofer, A. T. Bharucha-Reid (1973)
Annales de l'I.H.P. Probabilités et statistiques
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W. M. Tulczyjew (1977)
Annales de l'I.H.P. Physique théorique
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François Blanchard (1993)
Bulletin de la Société Mathématique de France
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Claude Viterbo (1991)
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Nalini Anantharaman (2006-2007)
Séminaire Équations aux dérivées partielles
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Young-Ho Ahn, Dou Dou, Kyewon Koh Park (2010)
Studia Mathematica
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Recently the notions of entropy dimension for topological and measurable dynamical systems were introduced in order to study the complexity of zero entropy systems. We exhibit a class of strictly ergodic models whose topological entropy dimensions range from zero to one and whose measure-theoretic entropy dimensions are identically zero. Hence entropy dimension does not obey the variational principle.