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 2019Show all

3 papers · 1 filter

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.NT2019

Intrinsic Diophantine approximation on the unit circle and its Lagrange spectrum

Byungchul Cha, Dong Han Kim

Let $L (S^{1})$ be the Lagrange spectrum arising from intrinsic Diophantine approximation on the unit circle $S^{1}$ by its rational points. We give a complete description of…

math.NT2019★ 2 cited

Number theoretical properties of Romik's dynamical system

Byungchul Cha, Dong Han Kim

We study a dynamical system that was originally defined by Romik in 2008 using an old theorem of Berggren concerning Pythagorean triples. Romik's system is closely related to the F…