Results 11 to 20 of about 172,915 (245)

On the Fractal Measures and Dimensions of Image Measures on a Class of Moran Sets

Mathematics, 2023
In this work, we focus on the centered Hausdorff measure, the packing measure, and the Hewitt–Stromberg measure that determines the modified lower box dimension Moran fractal sets. The equivalence of these measures for a class of Moran is shown by having
Najmeddine Attia, Bilel Selmi
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Moran Sets and Hyperbolic Boundaries

Annales Academiae Scientiarum Fennicae Mathematica, 2012
In the paper, we prove that a Moran set is homeomorphic to the hyperbolic boundary of the representing symbolic space in the sense of Gromov, which generalizes the results of Lau and Wang [Indiana U. Math. J. {\bf 58} (2009), 1777-1795].
Luo, Jun Jason
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Some Dimensional Results of a Class of Homogeneous Moran Sets [PDF]

Journal of Mathematics, 2021
In this paper, we construct a class of special homogeneous Moran sets: mk-quasi-homogeneous perfect sets, and obtain the Hausdorff dimension of the sets under some conditions.
Jingru Zhang, Yanzhe Li, Manli Lou
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Assouad Dimensions and Lower Dimensions of Some Moran Sets [PDF]

Journal of Mathematics, 2020
We prove that the low dimensions of a class of Moran sets coincide with their Hausdorff dimensions and obtain a formula for the lower dimensions.
JiaQing Xiao
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Assouad dimensions of Moran sets and Cantor-like sets [PDF]

Frontiers of Mathematics in China, 2016
We obtain the Assouad dimensions of Moran sets under suitable condition. Using the homogeneous set, we also study the Assouad dimensions of Cantor-like sets.
Li, Wenwen, Li, Wenxia, Miao, Junjie, Xi, Lifeng   +3 more
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Some dimensional results for homogeneous Moran sets [PDF]

Science in China Series A: Mathematics, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Feng, De-Jun, Wen, Zhiying, Wu, Jun
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Moran sets and Moran classes

Chinese Science Bulletin, 2001
The purpose of this survey is to present Moran sets and Moran classes which generalize the classical selfsimilar sets from the following points: (i) The placements of the basic sets at each step of the constructions can be arbitrary; (ii) the contraction ratios may be different at each step; and (iii) the lower limit of the contraction ratios permits ...
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Assouad-Type Dimensions of Homogeneous Moran Sets and Cantor-like Sets

Axioms
Assouad-type dimensions primarily describe the local structure of sets and have attracted significant attention in recent years within the field of fractal geometry.
Yanzhe Li, Jun Li, Shuang Liang, Manli Lou   +3 more
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Net measure properties of Moran sets and applications

Chinese Science Bulletin, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rao, Hui, Wen, Zhiying, Wu, Jun
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Spectrality of Moran measures with four-element digit sets

Journal of Mathematical Analysis and Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tang, Min-Wei, Yin, Feng-Li
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