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 2016 · math.NTShow all

2 papers · 2 filters

math.NT2016

On the expansions of real numbers in two multiplicative dependent bases

Yann Bugeaud, Dong Han Kim

Let $r \geq 2$ and $s \geq 2$ be multiplicatively dependent integers. We establish a lower bound for the sum of the block complexities of the $r$ -ary expansion and of the $s$ -ary exp…

math.NT2016★ 7 cited

Hausdorff dimension of the set approximated by irrational rotations

Dong Han Kim, Michał Rams, Baowei Wang

Let $θ$ be an irrational number and $φ : N \to R^{+}$ be a monotone decreasing function tending to zero. Let $$E_φ(θ) =\Big\{y \in \mathbb R: \|nθ- y\|<φ(n), \ {…