Average Hewitt-Stromberg and box dimensions of typical compact metric spaces
DOI10.2989/16073606.2022.2033338zbMath1516.28003OpenAlexW4212898184MaRDI QIDQ6046016
Publication date: 15 May 2023
Published in: Quaestiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2989/16073606.2022.2033338
Gromov-Hausdorff metricGromov-Hausdorff spaceHewitt-Stromberg measuresHewitt-Stromberg dimensionsHölder and Cesaro averages
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)
Related Items (5)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fractal dimension versus process complexity
- Generic properties of compact metric spaces
- Category and dimensions for cut-out sets
- Category and dimension of compact subsets of \(\mathbb R^n\)
- Box and packing dimensions of typical compact sets
- The validity of the multifractal formalism: Results and examples
- On the Hausdorff and packing measures of typical compact metric spaces
- On the average box dimensions of graphs of typical continuous functions
- On the average \(L^q\)-dimensions of typical measures belonging to the Gromov-Hausdorff-Prohoroff space
- Sets with different dimensions in [0,1]
- On the mutual singularity of Hewitt-Stromberg measures
- A review on multifractal analysis of Hewitt-Stromberg measures
- Slices of Hewitt-Stromberg measures and co-dimensions formula
- Average frequencies of digits in infinite IFS's and applications to continued fractions and Lüroth expansions
- On the mutual singularity of multifractal measures
- On average Hewitt-Stromberg measures of typical compact metric spaces
- Average distances on self-similar sets and higher order average distances of self-similar measures
- Some typical properties of dimensions of sets and measures
- Packing measures and dimensions on Cartesian products
- A multifractal formalism for Hewitt-Stromberg measures
- Generalized Hausdorff measure for generic compact sets
- On the Dimension of Iterated Sumsets
- THE MULTIFRACTAL DIMENSION FUNCTIONS OF HOMOGENEOUS MORAN MEASURE
- A Contribution to Measure and Dimension of Metric Spaces
- The packing measure of rectifiable subsets of the plane
- Open-Invariant Measures and the Covering Number of Sets
- Dimension Functions
- Fundamental Theorems of Calculus for Packing Measures on the Real Line
- Hausdorff measures and dimension on $\mathbb {R}^\infty $
- Average distances between points in graph‐directed self‐similar fractals
- Average box dimensions of typical compact sets
- Generic Properties of Compact Starshaped Sets
- Transfinite fractal dimension of trees and hierarchical scale-free graphs
- Another example of the mutual singularity of multifractal measures
- The mutual singularity of multifractal measures for some non-regular Moran fractals
- Minkowski dimension for measures
- A note on the multifractal Hewitt-Stromberg measures in a probability space
- Assouad Dimension and Fractal Geometry
- Fractal Functions, Dimensions and Signal Analysis
- Fractal Patterns in Nonlinear Dynamics and Applications
- REGULARITIES OF MULTIFRACTAL HEWITT-STROMBERG MEASURES
- Homogeneity and non-coincidence of Hausdorff and box dimensions for subsets of Rn
- Dimension functions of Cantor sets
- Riemannian Geometry
- On the Complementary Intervals of a Linear Closed Set of Zero Lebesgue Measure
- On the mutual singularity of Hewitt-Stromberg measures for which the multifractal functions do not necessarily coincide
This page was built for publication: Average Hewitt-Stromberg and box dimensions of typical compact metric spaces
