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- W2524128561 abstract "Let $theta$ be an irrational number and $varphi: {mathbb N} to {mathbb R}^{+}$ be a monotone decreasing function tending to zero. Let $$E_varphi(theta) =Big{y in mathbb R: |ntheta- y|<varphi(n), {text{for infinitely many}} nin {mathbb N} Big}, $$ i.e. the set of points which are approximated by the irrational rotation with respect to the error function $varphi(n)$. In this article, we give a complete description of the Hausdorff dimension of $E_varphi(theta)$ for any monotone function $varphi$ and any irrational $theta$." @default.
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- W2524128561 date "2016-09-28" @default.
- W2524128561 modified "2023-09-27" @default.
- W2524128561 title "Hausdorff dimension of the set in irrational rotations" @default.
- W2524128561 hasPublicationYear "2016" @default.
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