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Dimensions and measures of quasi self-semilinear sets. (English) Zbl 0683.58034

Summary: We show that sets with certain quasi self-similar properties have equal Hausdorff and box-packing dimensions and also have positive and finite Hausdorff-measure at the dimensional value. A number of applications of these results to particular examples are given.

MSC:

37C70 Attractors and repellers of smooth dynamical systems and their topological structure
28A75 Length, area, volume, other geometric measure theory
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