Abstract
Recently Lou and Wu obtained the formulas of pointwise dimensions of some Moran measures on Moran sets in ℝd under the strong separation condition. In this paper, we prove that the result is still true under the open set condition. Due to the lack of the strong separation condition, our approach is essentially different from that used by Lou and Wu. We also obtain the formulas of the Hausdorff and packing dimensions of the Moran measures and discuss some interesting examples.
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