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

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11 papers · 1 filter

math.DS2020

On the multiple recurrence properties for disjoint systems

Michihiro Hirayama, Dong Han Kim, Younghwan Son

We consider mutually disjoint family of measure preserving transformations $T_{1}, \dots, T_{k}$ on a probability space $(X, B, μ)$ . We obtain the multiple recurrence proper…

math.DS2020★ 7 cited

Odd-odd continued fraction algorithm

Dong Han Kim, Seul Bee Lee, Lingmin Liao

By using a jump transformation associated to the Romik map, we define a new continued fraction algorithm called odd-odd continued fraction, whose principal convergents are rational…

math.DS2019★ 1 cited

Generic point equivalence and Pisot numbers

Shigeki Akiyama, Hajime Kaneko, Dong Han Kim

Let $β > 1$ be an integer or generally a Pisot number. Put $T (x) = {β x}$ on $[0, 1]$ and let $S : [0, 1] \to [0, 1]$ be a piecewise linear transformation whose slopes have the form $\…

math.DS2018★ 3 cited

Quasi-Sturmian colorings on regular trees

Dong Han Kim, Seul Bee Lee, Seonhee Lim +1

Quasi-Sturmian words, which are infinite words with factor complexity eventually $n + c$ share many properties with Sturmian words. In this paper, we study the quasi-Sturmian colorin…

math.DS2017★ 2 cited

Multifractal analysis of the Birkhoff sums of Saint-Petersburg potential

Dong Han Kim, Lingmin Liao, Michal Rams +1

Let $((0, 1], T)$ be the doubling map in the unit interval and $φ$ be the Saint-Petersburg potential, defined by $φ (x) = 2^{n}$ if $x \in (2^{- n - 1}, 2^{- n}]$ for all $n \geq 0$ . We consid…

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…