The validity of the multifractal formalism: Results and examples
From MaRDI portal
Publication:1597989
DOI10.1006/aima.2001.2025zbMath1020.28005OpenAlexW2001745801MaRDI QIDQ1597989
Yanick Heurteaux, Imen Bhouri, Fathi Ben Nasr
Publication date: 11 July 2002
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/23cb57762ae019d077365c4513c4ff225a75971a
Related Items (41)
The mutual singularity of multifractal measures for some non-regular Moran fractals ⋮ A relative multifractal analysis: box-dimensions, densities, and projections ⋮ On the mixed multifractal formalism for vector-valued measures ⋮ MULTIFRACTAL ANALYSIS OF SOME WEIGHTED QUASI-SELF-SIMILAR FUNCTIONS ⋮ Lyapunov exponents for products of matrices and multifractal analysis. II: General matrices ⋮ On singularity and fine spectral structure of random continued fractions ⋮ Multifractal formalisms: Boxed versus centered intervals ⋮ Multi-fractal formalism for non-self-similar functions ⋮ Multivariate wavelet leaders Rényi dimension and multifractal formalism in mixed Besov spaces ⋮ Projections of mutual multifractal functions ⋮ A multifractal formalism for Hewitt-Stromberg measures ⋮ On the projections of generalized upper \(L^q\)-spectrum ⋮ Multifractal variation for projections of measures ⋮ Some density results of relative multifractal analysis ⋮ Multifractal analysis of some inhomogeneous multinomial measures with distinct analytic Olsen's \(b\) and \(B\) functions ⋮ On the mutual singularity of Hewitt-Stromberg measures for which the multifractal functions do not necessarily coincide ⋮ Average Hewitt-Stromberg and box dimensions of typical compact metric spaces ⋮ Revisiting the multifractal analysis of measures ⋮ On the multifractal measures: proportionality and dimensions of Moran sets ⋮ Multifractal dimensions for projections of measures ⋮ On the mutual singularity of multifractal measures ⋮ Multifractal analysis of Bernoulli measures on a class of homogeneous Cantor sets ⋮ Some new characterizations of Olsen's multifractal functions ⋮ Multifractal formalism of an inhomogeneous multinomial measure with various parameters ⋮ A higher order multifractal formalism ⋮ Validity of the multifractal formalism under the box condition ⋮ Hausdorff, large deviation and Legendre multifractal spectra of Lévy multistable processes ⋮ Multifractal analysis for projections of Gibbs and related measures ⋮ Multifractal analysis of inhomogeneous Bernoulli products ⋮ Phase transitions in the multifractal analysis of self-similar measures. ⋮ Hölder regularity of \(\mu\)-similar functions ⋮ Multifractal formalism for self-similar measures with weak separation condition ⋮ A review on multifractal analysis of Hewitt-Stromberg measures ⋮ On the multifractal analysis of measures in a probability space ⋮ On the projections of the multifractal packing dimension for \(q > 1\) ⋮ Multifractal spectra of Moran measures without local dimension ⋮ Relative multifractal box-dimensions ⋮ On the Projections of the Mutual Multifractal Renyi Dimensions ⋮ A multifractal formalism in a probability space ⋮ Another example of the mutual singularity of multifractal measures ⋮ Remarks on the mutual singularity of multifractal measures
Cites Work
- Unnamed Item
- Unnamed Item
- Multifractal decompositions of Moran fractals
- The fractal analysis of Borel measures in \(R^ d\)
- Estimates for the lower and the upper dimension of a measure
- Self-affine multifractal Sierpiński sponges in \(\mathbb{R}^d\)
- A multifractal formalism
- Hausdorff dimension and quasisymmetric mappings.
- Two definitions of fractional dimension
- Multifractal Decompositions of Digraph Recursive Fractals
- A dimension result arising from the $L^q$-spectrum of a measure
- Spectre multifractal de mesures boréliennes sur
- Dimension inequalities of multifractal Hausdorff measures and multifractal packing measures
- A general form of the covering principle and relative differentiation of additive functions. II
- On the multifractal analysis of measures
This page was built for publication: The validity of the multifractal formalism: Results and examples
