Doyong Kwon

activity

20032026

most citedA devil's staircase from rotations and irrationality measures for Liouville numbers

15 citations · 20 across the 6 of their papers we have counts for

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math.NT2025★ 5 cited

The orbit of a $β$ -transformation cannot lie in a small interval

DoYong Kwon

For $β > 1$ , let $T_{β} : [0, 1] \to [0, 1)$ be the $β$ -transformation. We consider an invariant $T_{β}$ -orbit closure contained in a closed interval with diameter $1/ β$ , then define…

math.NT2021

A comment on the paper "Continued fractions and orderings on the Markov numbers, Adv. Math. 370 (2020), 107231"

DoYong Kwon

We discuss the validity of the proof of the fixed numerator conjecture on Markov numbers, which is the main result of the paper mentioned in the title.

math.NT2007★ 15 cited

A devil's staircase from rotations and irrationality measures for Liouville numbers

Doyong Kwon

From Sturmian and Christoffel words we derive a strictly increasing function $Δ : [0, \infty) \to R$ . This function is continuous at every irrational point, while at rational p…

The orbit of a β-transformation cannot lie in a small interval

A comment on the paper "Continued fractions and orderings on the Markov numbers, Adv. Math. 370 (2020), 107231"

A devil's staircase from rotations and irrationality measures for Liouville numbers

The orbit of a $β$ -transformation cannot lie in a small interval