On the equivalence of multifractal measures on Moran sets
Filomat, Tome 36 (2022) no. 10, p. 3479
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In this paper, the equivalence of the multifractal centered Hausdorff measure and the multifractal packing measure is investigated. Furthermore, for the Moran sets satisfying the strong separation condition, the equivalence of the mutual multifractal Hausdorff and packing measures is discussed. A concrete example of fractal sets satisfying the above property is developed.
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; Bilel Selmi. On the equivalence of multifractal measures on Moran sets. Filomat, Tome 36 (2022) no. 10, p. 3479 . doi: 10.2298/FIL2210479B
@article{10_2298_FIL2210479B,
author = {Anouar Ben Mabrouk and Bilel Selmi},
title = {On the equivalence of multifractal measures on {Moran} sets},
journal = {Filomat},
pages = {3479 },
year = {2022},
volume = {36},
number = {10},
doi = {10.2298/FIL2210479B},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2210479B/}
}
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