Displaying similar documents to “A note on equivalent interval covering systems for Hausdorff dimension on R.”

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.

Dimension of measures

Herrmann Haase (1990)

Acta Universitatis Carolinae. Mathematica et Physica

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