On the mixed multifractal densities and regularities with respect to gauges
Filomat, Tome 36 (2022) no. 12, p. 4225
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In this paper, we are concerned with some density estimations of vector-valued measures in the framework of the so-called mixed multifractal analysis. We precisely consider some Borel probability measures that are no longer Gibbs and introduce some mixed multifractal generalizations of densities in a framework of relative mixed multifractal analysis. Results on multifractal regularities are developed in the new framework.
Classification :
28A78, 28A80, 28A20, 28A75, 49Q15
Keywords: Mutual multifractal analysis, Density Theorem, Moran sets
Keywords: Mutual multifractal analysis, Density Theorem, Moran sets
Anouar Ben Mabrouk; Mohamed Menceur; Bilel Selmi. On the mixed multifractal densities and regularities with respect to gauges. Filomat, Tome 36 (2022) no. 12, p. 4225 . doi: 10.2298/FIL2212225B
@article{10_2298_FIL2212225B,
author = {Anouar Ben Mabrouk and Mohamed Menceur and Bilel Selmi},
title = {On the mixed multifractal densities and regularities with respect to gauges},
journal = {Filomat},
pages = {4225 },
year = {2022},
volume = {36},
number = {12},
doi = {10.2298/FIL2212225B},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2212225B/}
}
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