Abstract
Let θ be an irrational number and φ:N → R+ be a monotone decreasing function tending to zero. Let [Equation presented here] i.e. the set of points which are approximated by the irrational rotation with respect to the error function φ(n). In this article, we give a complete description of the Hausdorff dimension of Eφ(θ) for any monotone function φ and any irrational θ.
Original language | English |
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Pages (from-to) | 267-283 |
Number of pages | 17 |
Journal | Mathematika |
Volume | 64 |
Issue number | 1 |
DOIs | |
State | Published - 2018 |