On the structures and dimensions of Moran sets
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Publication:1589769
DOI10.1007/BF02884183zbMath0976.28002OpenAlexW2002186050MaRDI QIDQ1589769
Hui Rao, Jun Wu, Zhiying Wen, Hua Su
Publication date: 30 August 2001
Published in: Science in China. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02884183
Related Items (35)
Gibbs-like measure for spectrum of a class of quasi-crystals ⋮ Assouad dimensions and lower dimensions of some Moran sets ⋮ CONVERGENCE OF DIRICHLET FORMS AND BESOV NORMS ON SCALE IRREGULAR SIERPIŃSKI GASKETS ⋮ Optimal quantization for uniform distributions on Cantor-like sets ⋮ One distribution function on the Moran sets ⋮ Hausdorff and packing dimensions of homogeneous product Moran sets ⋮ On the upper and lower quantization coefficient for probability measures on multiscale Moran sets ⋮ QUASISYMMETRIC PACKING-MINIMALITY OF MORAN SETS ⋮ Assouad dimensions of Moran sets ⋮ HAUSDORFF MEASURES OF A CLASS OF MORAN SETS ⋮ THE MULTIFRACTAL DIMENSION FUNCTIONS OF HOMOGENEOUS MORAN MEASURE ⋮ Multifractal analysis of Bernoulli measures on a class of homogeneous Cantor sets ⋮ Lipschitz equivalence of fractals generated by nested cubes ⋮ Whitney's critical set in fractal. ⋮ Range-renewal structure in continued fractions ⋮ Dimensional results for the Moran-Sierpinski gasket ⋮ Dimensional results for Cartesian products of homogeneous Moran sets ⋮ Asymptotic order of quantization for Cantor distributions in terms of Euler characteristic, Hausdorff and packing measure ⋮ Ergodic limits on the conformal repellers ⋮ Quantization dimension function and Gibbs measure associated with Moran set ⋮ Quantization dimension for some Moran measures ⋮ The pointwise dimensions of Moran measures ⋮ Weak separation condition, Assouad dimension, and Furstenberg homogeneity ⋮ Unnamed Item ⋮ Dimensions of multitype Moran sets with lower limit of the contractions being zero ⋮ Hausdorff measure of uniform self-similar fractals ⋮ Some fractals associated with Cantor expansions ⋮ Certain singular distributions and fractals ⋮ Dimension results for inhomogeneous Moran set constructions ⋮ The continuity of dimensions and quasisymmetrical equivalence of parameterized homogeneous Moran sets ⋮ Hausdorff dimension of local level sets of Takagi's function ⋮ Some fractal properties of sets having the Moran structure ⋮ ASSOUAD DIMENSIONS OF MORAN SETS WITH ZERO INFIMUM CONTRACTION ⋮ QUASISYMMETRICALLY MINIMAL MORAN SETS ON PACKING DIMENSION ⋮ Dimensions of cookie-cutter-like sets
Cites Work
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- On the dimension of deterministic and random Cantor-like sets, symbolic dynamics, and the Eckmann-Ruelle conjecture
- Some dimensional results for homogeneous Moran sets
- A class of self-similar fractals with overlap structure
- The net measure properties of symmetric Cantor sets and their applications
- The Hausdorff dimension of general Sierpiński carpets
- Dimensions and Measures in Infinite Iterated Function Systems
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