Abstract
In the paper, we define a class of fractals named “self-affine Moran sets”, which are the generalization of classic Moran sets. Simply to say, we replace similarity mappings by affine mappings in the definition of Moran construction. We investigate the packing dimension, upper and lower box-counting dimension and Assouad dimension of these sets and give the dimension formulas. We also study Hausdorff dimension of such sets, we find some sufficient conditions for the Hausdorff dimension formula.
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