Hausdorff and packing dimensions of non-normal tuples of numbers: non-linearity and divergence points
Using some previous results of the author [\textit{L.Olsen}, J. Math. Pures Appl., IX. Sér. 82, No. 12, 1591--1649 (2003; Zbl 1035.37025); Aequationes Math. 71, No. 1-2, 29--53 (2006; Zbl 1089.37021); Bull. Sci. Math. 132, No. 8, 650--678 (2008; Zbl 1167.37021)]; [\textit{L. Olsen, S. Winter}, Bull. Sci. Math. 131, No. 6, 518--558 (2007; Zbl 1121.37024)], in the paper under review, the author discusses the sets of d-tuples of numbers defined in terms of the asymptotic behaviour of the frequencies of strings of digits in their \(N\)-adic expansion, and he gives a detailed account of the Hausdorff and packing dimensions for this kind of sets.
scientific article; zbMATH DE number 5667915
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