Variational principles for general fractal dimensions
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Publication:6635275
DOI10.1007/s00025-024-02292-3MaRDI QIDQ6635275
Zhiming Li, Rim Achour, Bilel Selmi
Publication date: 9 November 2024
Published in: Results in Mathematics (Search for Journal in Brave)
variational principlesHausdorff and packing measuresgeneral box-dimensionsconcentration dimensionsthin dimensions
Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75) Fractals (28A80) Hausdorff and packing measures (28A78)
Cites Work
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- The fractal analysis of Borel measures in \(R^ d\)
- Dimension of measures invariant with respect to the Ważewska partial differential equation.
- Entropy dimensions of the hyperspace of compact sets
- The Hausdorff dimension of the hyperspace of compact sets
- On the multifractal analysis of measures in a probability space
- Some new characterizations of Olsen's multifractal functions
- A variational principle for fractal dimensions
- Two definitions of fractional dimension
- A Variational Principle for the Hausdorff Dimension of Fractal Sets.
- On the existence of subsets of finite positive packing measure
- Strong and weak duality principles for fractal dimension in Euclidean space
- Subsets of positive and finite \(\Psi_t\)-Hausdorff measures and applications
- General fractal dimensions of graphs of products and sums of continuous functions and their decompositions
- Some properties of new general fractal measures
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