Date | May 18, 2017 |
---|---|

Speaker | 김동한 |

Dept. | 동국대 |

Room | 129-406 |

Time | 14:45-15:45 |

Fix an irrational number $\theta$.

We consider the set of points $y$ such that $\| n \theta - y \| < \varphi(n)$ with general monotone error

functions $\varphi(n)$.

We give an necessary and sufficient condition for the set has full Lebesgue measure and calculate the Hausdorff dimension.

We also consider uniform approximation with an error function $\varphi(n) = n^{-\tau}$.

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