HAUSDORFF DIMENSION of the SET APPROXIMATED by IRRATIONAL ROTATIONS

Dong Han Kim, Michał Rams, Baowei Wang

Research output: Contribution to journalArticlepeer-review

5 Scopus citations

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 languageEnglish
Pages (from-to)267-283
Number of pages17
JournalMathematika
Volume64
Issue number1
DOIs
StatePublished - 2018

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