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.


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