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The pointwise dimensions of Moran measures

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Abstract

In this paper, we get the formulas of upper (lower) pointwise dimensions of some Moran measures on Moran sets in ℝd under the strong separation condition. We also obtain formulas for the dimension of the Moran measures. Our results extend the known results of some self-similar measures and Moran measures studied by Cawley and Mauldin.

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Authors and Affiliations

  1. Department of Mathematics, South China University of Technology, Guangzhou, 510641, China

    ManLi Lou & Min Wu

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  1. ManLi Lou
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  2. Min Wu
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Correspondence to Min Wu.

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Lou, M., Wu, M. The pointwise dimensions of Moran measures. Sci. China Math. 53, 1283–1292 (2010). https://doi.org/10.1007/s11425-010-0127-2

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  • DOI: https://doi.org/10.1007/s11425-010-0127-2

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