MIXED MULTIFRACTAL DENSITIES FOR QUASI-AHLFORS VECTOR-VALUED MEASURES

DOI10.1142/S0218348X22400035zbMath1495.28012arXiv2103.05246OpenAlexW3199591546MaRDI QIDQ5062377

Publication date: 15 March 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.05246

zbMATH Keywords

multifractal formalism Hausdorff measure and dimension Hölderian measures mixed cases packing measure and dimension Ahlfors measures multifractal densities

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Fractals (28A80) Hausdorff and packing measures (28A78)

Related Items (1)

On the mixed multifractal formalism for vector-valued measures

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Multifractal variation measures and multifractal density theorems.
Subsets of Ahlfors-regular curves and Jones numbers
Self-similar vector-valued measures
Centered densities and fractal measures
A higher order multifractal formalism
Packing dimension and Ahlfors regularity of porous sets in metric spaces
Relative multifractal analysis
Some density results of relative multifractal analysis
A multifractal formalism
On the strong regularity with the multifractal measures in a probability space
Mixed multifractal spectra of Birkhoff averages for non-uniformly expanding one-dimensional Markov maps with countably many branches
A relative multifractal analysis
On the mutual singularity of multifractal measures
Regularities of general Hausdorff and packing functions
A joint multifractal analysis of vector valued non Gibbs measures
Multifractal variation for projections of measures
Mixed generalized dimensions of self-similar measures
The boundedness of bilinear singular integral operators on Sierpinski gaskets
Spectral Self-Affine Measures on the Generalized Three Sierpinski Gasket
Simultaneous Multifractal Analysis of the Branching and Visibility Measure on a Galton-Watson Tree
Multifractal dimensions of product measures
Another example of the mutual singularity of multifractal measures
Remarks on the mutual singularity of multifractal measures
Multifractal analysis of non-uniformly contracting iterated function systems
The Multifractal Formalism for Measures, Review and Extension to Mixed Cases
Hausdorff measures, dimensions and mutual singularity
A Local Property of Hausdorff Centered Measure of Self-Similar Sets
Data Clustering: Theory, Algorithms, and Applications
The relative multifractal analysis, review and examples
Relative multifractal box-dimensions

This page was built for publication: MIXED MULTIFRACTAL DENSITIES FOR QUASI-AHLFORS VECTOR-VALUED MEASURES