Higher Order Multifractal Analysis
Projet FRACTALESWe extend the multifractal analysis to the description of the distribution of the $n$-th order correlation of singularities. For this purpose, new multifractal spectra are defined, and some general relations between them are given.
Lévy Véhel, Jacques, Vojak, Robert
core +1 more source
Multifractal evolution of shale fracture and pore structures under uniaxial compression. [PDF]
Wang Z +5 more
europepmc +1 more source
Additomultiplicative Cascades Govern Multifractal Scaling Reliability Across Cardiac, Financial, and Climate Systems. [PDF]
Mangalam M, Watanabe E, Kiyono K.
europepmc +1 more source
DIMENSION INEQUALITIES OF MULTIFRACTAL HAUSDORFF MEASURES AND MULTIFRACTAL PACKING MEASURES
Let µ be a Borel probability measure on Rd. We study the Hausdorff dimension and the packing dimension of the multifractal Hausdorff measurehq;t and the multifractal packing measure p q;t introduced in [L.
L. Olsen
core
Complex Fluids in a Multifractal Space: Scale Covariance and the Emergence of the Fractal Force. [PDF]
Rusu DI +7 more
europepmc +1 more source
Multifractal geometry. Fractal geometry and stochastics, II
This is a survey on multifractal analysis with an emphasis on the multifractal geometry of geometric constructions involving (multifractal) measures.We first describe the basic notions in multifractal analysis: the Multifractal Formalism, the coarse ...
Olsen, Lars Ole Ronnow
core
Fractal nature of galaxy clustering in the updated CfA redshift catalog. [PDF]
Macek WM, Wójcik D.
europepmc +1 more source
Fractal Analysis of Intramuscular Adipose Tissue on CT Serves as a Novel Imaging Biomarker for Metabolic Syndrome. [PDF]
Hou B +6 more
europepmc +1 more source
Classification of Mammography Images Based on Multifractal Analysis of BIMFs. [PDF]
Ghazi F +4 more
europepmc +1 more source
Multifractal Cascade Modeling Reveals Fundamental Limits of Current Neuroimaging Strategies. [PDF]
Mangalam M.
europepmc +1 more source

