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   Articles with "moran sets" as a keyword



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ASSOUAD-MINIMALITY OF MORAN SETS UNDER QUASI-LIPSCHITZ MAPPINGS

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recommendations! Published in 2017 at "Fractals"

DOI: 10.1142/s0218348x17500372

Abstract: The quasi-Lipschitz mappings, weaker than the bi-Lipschitz mappings, preserve Hausdorff, packing and box dimensions, but change Assouad dimension dimA(⋅). In this paper, for Moran fractals, we investigate the change of their Assouad dimension under the… read more here.

Keywords: lipschitz mappings; quasi lipschitz; assouad dimension; moran sets ... See more keywords
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QUASISYMMETRIC PACKING-MINIMALITY OF MORAN SETS

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recommendations! Published in 2019 at "Fractals"

DOI: 10.1142/s0218348x19501019

Abstract: In this paper, we prove that a large class of Moran sets on the line with packing dimension 1 is quasisymmetrically packing-minimal. read more here.

Keywords: minimality moran; moran; quasisymmetric packing; packing minimality ... See more keywords
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Assouad Dimensions and Lower Dimensions of Some Moran Sets

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recommendations! Published in 2020 at "Journal of Mathematics"

DOI: 10.1155/2020/8353591

Abstract: 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. Subsequently, we consider some homogeneous Cantor sets which belong to… read more here.

Keywords: assouad dimensions; lower dimensions; dimensions moran; dimensions lower ... See more keywords