A note on the dimension Dind
W. Kulpa (1972)
Colloquium Mathematicae
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Displaying similar documents to “On the Information Dimensions”
A note on the dimension Dind
The origins of the concept of dimension
R. Duda (1979)
Colloquium Mathematicae
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On the dimension of an irrigable measure
Giuseppe Devillanova, Sergio Solimini (2007)
Rendiconti del Seminario Matematico della Università di Padova
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On the dimensions of certain incommensurably constructed sets.
Veerman, J.J.P., Stošić, B.D. (2000)
Experimental Mathematics
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Two variants of Sperner's lemma with application to invariance of dimension theorems
R. Đorđević (1989)
Matematički Vesnik
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Contracting-on-Average Baker Maps
Michał Rams (2006)
Bulletin of the Polish Academy of Sciences. Mathematics
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We estimate from above and below the Hausdorff dimension of SRB measure for contracting-on-average baker maps.
On Nikodym-type sets in high dimensions
Themis Mitsis (2004)
Studia Mathematica
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We prove that the complement of a higher-dimensional Nikodym set must have full Hausdorff dimension.
On the Hausdorff dimension of ultrametric subsets in ℝⁿ
James R. Lee, Manor Mendel, Mohammad Moharrami (2012)
Fundamenta Mathematicae
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For every ε > 0, any subset of ℝⁿ with Hausdorff dimension larger than (1-ε)n must have ultrametric distortion larger than 1/(4ε).
Dimension of a measure
Pertti Mattila, Manuel Morán, José-Manuel Rey (2000)
Studia Mathematica
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We propose a framework to define dimensions of Borel measures in a metric space by formulating a set of natural properties for a measure-dimension mapping, namely monotonicity, bi-Lipschitz invariance, (σ-)stability, etc. We study the behaviour of most popular definitions of measure dimensions in regard to our list, with special attention to the standard correlation dimensions and their modified versions.
On transfinite dimension
L. Polkowski (1985)
Colloquium Mathematicae
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On the Relations Between 2D and 3D Fractal Dimensions: Theoretical Approach and Clinical Application in Bone Imaging
H. Akkari, I. Bhouri, P. Dubois, M. H. Bedoui (2008)
Mathematical Modelling of Natural Phenomena
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The inner knowledge of volumes from images is an ancient problem. This question becomes complicated when it concerns quantization, as the case of any measurement and in particular the calculation of fractal dimensions. Trabecular bone tissues have, like many natural elements, an architecture which shows a fractal aspect. Many studies have already been developed according to this approach. The question which arises however is to know to which extent it is possible to get an exact determination...
Dimension of dense subalgebras of C(X)
Juan B. Sancho de Salas, M.ª Teresa Sancho de Salas (1988)
Extracta Mathematicae
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Dimension of measures
Herrmann Haase (1990)
Acta Universitatis Carolinae. Mathematica et Physica
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