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

collaborators

Showing 2016Show all

3 papers · 1 filter

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), \ {…

math.DS2016★ 1 cited

Continued fraction algorithm for Sturmian colorings of trees

Dong Han Kim, Seonhee Lim

Factor complexity $b_{ϕ} (n)$ for a vertex coloring $ϕ$ of a regular tree is the number of colored $n$ -balls up to color-preserving automorphisms. Sturmian colorings are colorings of…