Dongguk University

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19952026

most citedResonantly hybridised excitons in moiré superlattices in van der Waals heterostructures

878 citations

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8 papers · 1 filter

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…

math.DS2013★ 2 cited

Bounded type interval exchange maps

Dong Han Kim, Stefano Marmi

Irrational numbers of bounded type have several equivalent characterizations. They have bounded partial quotients in terms of arithmetic characterization and in the dynamics of the…