Hausdorff Dimension and Hausdorff Measure for Non-integer based Cantor-type Sets
نویسنده
چکیده
We consider digits-deleted sets or Cantor-type sets with β-expansions. We calculate the Hausdorff dimension d of these sets and show that d is continuous with respect to β. The d-dimentional Hausdorff measure of these sets is finite and positive.
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