6 citations · 13 across the 20 of their papers we have counts for
24 papers
Euclidean algorithms are Gaussian over imaginary quadratic fields
Dohyeong Kim, Jungwon Lee, Seonhee Lim
The distributional analysis of Euclidean algorithms was carried out by Baladi and Vallée. They showed the asymptotic normality of the number of division steps and associated costs…
-orbit closures on a -adic homogeneous space of infinite volume
Jinho Jeoung, Seonhee Lim
Let be an unramified quadratic extension of for a fixed . Projective general linear groups and $H=\operato…
On Hausdorff dimension in inhomogeneous Diophantine approximation over global function fields
Taehyeong Kim, Seonhee Lim, Frédéric Paulin
In this paper, we study inhomogeneous Diophantine approximation over the completion of a global function field (over a finite field) for a discrete valuation , with af…
Dimension estimates for badly approximable affine forms
Taehyeong Kim, Wooyeon Kim, Seonhee Lim
For given and , we say that a real matrix is -badly approximable for the target if $$\liminf_{q\in\mathbb{Z}^n, \|q\|\to\infty} \|q\|…
Asymptotic distribution for pairs of linear and quadratic forms at integral vectors
Jiyoung Han, Seonhee Lim, Keivan Mallahi-Karai
We study the joint distribution of values of a pair consisting of a quadratic form and a linear form over the set of integral vectors, a problem initiated by Dani-M…
Martin boundary of Brownian motion on Gromov hyperbolic metric graphs
Soonki Hong, Seonhee Lim
Let be a locally finite complete Gromov hyperbolic metric graph with the geometric boundary consisting of infinitely many points. Suppose that there is a discrete s…