A note on the dimension Dind
W. Kulpa (1972)
Colloquium Mathematicae
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W. Kulpa (1972)
Colloquium Mathematicae
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R. Duda (1979)
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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).
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A relationship between the information dimension and the average dimension of a measure is given. Properties of the average dimension are studied.
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