Pointwise dimensions and Rényi dimensions

DOI10.1090/S0002-9939-02-06519-XzbMath0989.28003MaRDI QIDQ2782624

Ryszard Rundnicki

Publication date: 8 April 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

measurepointwise dimensiongeneralized (Rényi) dimension

Mathematics Subject Classification ID

Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (3)

Generalized fractal dimensions of invariant measures of full-shift systems over compact and perfect spaces: generic behavior ⋮ A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures ⋮ Nearest neighbour distance and dimension of intensity measure of Poisson point process

Cites Work

• Unnamed Item
• The infinite number of generalized dimensions of fractals and strange attractors
• Some results on the behavior and estimation of the fractal dimensions of distributions on attractors
• A dimension result arising from the $L^q$-spectrum of a measure

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