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- W2962858594 abstract "Abstract We solve the problem of giving sharp asymptotic bounds on the Hausdorff dimensions of certain sets of badly approximable matrices, thus improving results of Broderick and Kleinbock (preprint 2013) as well as Weil (preprint 2013), and generalising to higher dimensions those of Kurzweil ('51) and Hensley ('92). In addition we use our technique to compute the Hausdorff f -measure of the set of matrices which are not ψ-approximable, given a dimension function f and a function ψ : (0, ∞) → (0, ∞). This complements earlier work by Dickinson and Velani ('97) who found the Hausdorff f -measure of the set of matrices which are ψ-approximable." @default.
- W2962858594 created "2019-07-30" @default.
- W2962858594 creator A5090428395 @default.
- W2962858594 date "2017-04-05" @default.
- W2962858594 modified "2023-09-27" @default.
- W2962858594 title "A Hausdorff measure version of the Jarník–Schmidt theorem in Diophantine approximation" @default.
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- W2962858594 doi "https://doi.org/10.1017/s0305004117000214" @default.
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