Dong Han Kim

activity

20062022

most citedHausdorff dimension of the set approximated by irrational rotations

7 citations · 42 across the 23 of their papers we have counts for

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Showing 2018 · math.NTShow all

2 papers · 2 filters

math.NT2018

Some constructions for the higher-dimensional three-distance theorem

Valérie Berthé, Dong Han Kim

For a given real number $α$ , let us place the fractional parts of the points $0, α, 2 α,$ $\dots, (N - 1) α$ on the unit circle. These points partition the unit circle into interva…

math.NT2018

Hausdorff dimension in inhomogeneous Diophantine approximation

Yann Bugeaud, Dong Han Kim, Seonhee Lim +1

Let $α$ be an irrational real number. We show that the set of $ε$ -badly approximable numbers \[ \mathrm{Bad}^\varepsilon (α) := \{x\in [0,1]\, : \, \liminf_{|q| \to \infty} |q| \cd…