7 citations · 42 across the 23 of their papers we have counts for
28 papers
Intrinsic Diophantine approximation on circles and spheres
Byungchul Cha, Dong Han Kim
We study Lagrange spectra arising from intrinsic Diophantine approximation of circles and spheres. More precisely, we consider three circles embedded in or $\mathbb{…
The Markoff and Lagrange spectra on the Hecke group H4
Dong Han Kim, Deokwon Sim
We consider the Markoff spectrum and the Lagrange spectrum on the Hecke group . They are identical to the Markoff and Lagrange spectra of the unit circle. The Markoff…
On the multiple recurrence properties for disjoint systems
Michihiro Hirayama, Dong Han Kim, Younghwan Son
We consider mutually disjoint family of measure preserving transformations on a probability space . We obtain the multiple recurrence proper…
On the Lévy constants of Sturmian continued fractions
Yann Bugeaud, Dong Han Kim, Seul Bee Lee
The Lévy constant of an irrational real number is defined by the exponential growth rate of the sequence of denominators of the principal convergents in its continued fraction expa…
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…
On the Diophantine nature of the elements of Cantor sets arising in the dynamics of contracted rotations
Yann Bugeaud, Dong Han Kim, Michel Laurent +1
We prove that these Cantor sets are made up of transcendental numbers, apart from their endpoints and , under some arithmetical assumptions on the data. To that purpose, we…