Results 211 to 220 of about 172,915 (245)
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Level sets and equivalences of moran-type sets
Acta Mathematica Scientia, 2016Abstract In the paper, we consider Moran-type sets Ea given by sequences { a k } k = 1 ∞ and { n k } k = 1 ∞ . we prove that Ea may be decompose into the disjoint union of level sets. Moreover, we define three type of equivalence between two dimension functions associated to two Moran-type ...
Yali DU, Junjie MIAO, Min WU
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Dimensions of a class of self-affine Moran sets
Journal of Mathematical Analysis and Applications, 2022In this paper, the authors extend the definition of one-dimensional Moran set to two-dimensional case, defined by ``self-affine Moran sets''. This extension can also be regarded as a generalization of self-affine fractals since different affine contractions are applied at different levels in the self-affine iterations.
Gu, Yifei, Miao, Jun Jie
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Assouad dimensions and spectra of Moran cut-out sets
Chaos, Solitons & Fractals, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Haipeng Chen
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Thickness and thinness of λ-Moran sets for doubling measures
Chaos, Solitons & Fractals, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lou, Manli, Wang, Wen, Xi, Lifeng
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QUASISYMMETRICALLY MINIMAL MORAN SETS ON PACKING DIMENSION
Fractals, 2021In this paper, two large classes of Moran sets with packing dimension 1 are shown to be quasisymmetrically minimal for packing dimension.
YANZHE LI, XIAOHUI FU, JIAOJIAO YANG
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QUASISYMMETRIC PACKING-MINIMALITY OF MORAN SETS
Fractals, 2019In this paper, we prove that a large class of Moran sets on the line with packing dimension 1 is quasisymmetrically packing-minimal.
YANZHE LI, YU QIAO, MANLI LOU
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HAUSDORFF MEASURES OF A CLASS OF MORAN SETS
Fractals, 2020Let [Formula: see text] be the class of Moran sets with integer [Formula: see text] and real [Formula: see text] satisfying [Formula: see text]. It is well known that the Hausdorff dimension of any set in this class is [Formula: see text]. We show that for any [Formula: see text], [Formula: see text] where [Formula: see text] denotes [Formula: see ...
XIAOFANG JIANG +3 more
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A NOTE ON GENERALIZED MORAN SET
Acta Mathematica Scientia, 1998Abstract Let E be a generalized Moran set. The authors determine the dimBE and get the sufficient and necessary condition for E being a s-set.
Wenxia Li, Dongmei Xiao
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On dimensions of multitype Moran sets
Mathematical Proceedings of the Cambridge Philosophical Society, 2005Summary: Multitype Moran sets are introduced in this paper. They appear naturally in the study of the structure of the quasi-crystal spectrum, and they generalize some known fractal structures such as self-similar sets, graph-direct sets and Moran sets. It is known that for any Moran set \(E\) with a boundedness condition on contracting ratios, one has
Liu, Qing-Hui, Wen, Zhi-Ying
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Approximation Theory and its Applications, 2002
The authors give conditions on the ratios of dissection of a generalized Cantor set \(F\) (called Moran set) so that its algebraic sum \[ \underbrace{F+F+\ldots+F}_{n} \] has positive Lebesgue measure for sufficiently big \(n\). The theorem is an analogue of a theorem in [\textit{C. A. Cabrelli, K. E. Hare} and \textit{U. M.
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The authors give conditions on the ratios of dissection of a generalized Cantor set \(F\) (called Moran set) so that its algebraic sum \[ \underbrace{F+F+\ldots+F}_{n} \] has positive Lebesgue measure for sufficiently big \(n\). The theorem is an analogue of a theorem in [\textit{C. A. Cabrelli, K. E. Hare} and \textit{U. M.
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