An exact computation for mixed multifractal dimensions of sets and measures
Filomat, Tome 37 (2023) no. 23, p. 7761
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In the present work, we are concerned with the estimation of some mixed variants of multifractal dimensions for a special class of measures characterized by a weak Ahlfors assumption applying mixed multifractal generalizations of Hausdorff and packing measures. Exact computation of such dimensions is shown to be valid for a class of Moran-type measures in some special cases.
Classification :
28A80
Keywords: Hausdorff and packing measures, Hausdorff and packing dimensions, Mixed cases, Multifractal exact dimension. Moran sets and measures
Keywords: Hausdorff and packing measures, Hausdorff and packing dimensions, Mixed cases, Multifractal exact dimension. Moran sets and measures
Sabrine Arfaoui; Anouar Ben Mabrouk. An exact computation for mixed multifractal dimensions of sets and measures. Filomat, Tome 37 (2023) no. 23, p. 7761 . doi: 10.2298/FIL2323761A
@article{10_2298_FIL2323761A,
author = {Sabrine Arfaoui and Anouar Ben Mabrouk},
title = {An exact computation for mixed multifractal dimensions of sets and measures},
journal = {Filomat},
pages = {7761 },
year = {2023},
volume = {37},
number = {23},
doi = {10.2298/FIL2323761A},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2323761A/}
}
TY - JOUR AU - Sabrine Arfaoui AU - Anouar Ben Mabrouk TI - An exact computation for mixed multifractal dimensions of sets and measures JO - Filomat PY - 2023 SP - 7761 VL - 37 IS - 23 UR - http://geodesic.mathdoc.fr/articles/10.2298/FIL2323761A/ DO - 10.2298/FIL2323761A LA - en ID - 10_2298_FIL2323761A ER -
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