Wooyeon Kim

activity

20182026

most citedEffective equidistribution of expanding translates in the space of affine lattices

3 citations · 5 across the 8 of their papers we have counts for

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7 papers · 1 filter

math.DS2026

Determinant values on lattices

Wooyeon Kim, Hee Oh

We study the distribution of determinant values on lattices in $M_{n} (R)$ for $n \geq 2$ . Let $Λ < M_{n} (R)$ be a lattice whose elements have…

math.DS2026

Quantitative Oppenheim in signature $(2, 2)$ via determinant values

Wooyeon Kim, Hee Oh

We give a new proof of the quantitative Oppenheim theorem in signature $(2, 2)$ , originally proved by Eskin-Margulis-Mozes, by recasting the problem as one about determinant values…

math.DS2021★ 1 cited

Dimension estimates for badly approximable affine forms

Taehyeong Kim, Wooyeon Kim, Seonhee Lim

For given $ε > 0$ and $b \in R^{m}$ , we say that a real $m \times n$ matrix $A$ is $ε$ -badly approximable for the target $b$ if $$\liminf_{q\in\mathbb{Z}^n, \|q\|\to\infty} \|q\|…

math.DS2021★ 3 cited

Effective equidistribution of expanding translates in the space of affine lattices

Wooyeon Kim

We prove a polynomially effective equidistribution result for expanding translates in the space of $d$ -dimensional affine lattices for any $d \geq 2$ .

math.DS2020★ 1 cited

Hausdorff measure of sets of Dirichlet non-improvable affine forms

Taehyeong Kim, Wooyeon Kim

For a decreasing real valued function $ψ$ , a pair $(A, b)$ of a real $m \times n$ matrix $A$ and $b \in R^{m}$ is said to be $ψ$ -Dirichlet improvable if the sy…

math.DS2019

Dimension bound for doubly badly approximable affine forms

Wooyeon Kim, Seonhee Lim

We prove that for all $b$ , the Hausdorff dimension of the set of $m \times n$ matrices $ε$ -badly approximable for the target $b$ is not full. The doubly metric case follows. It was…

math.DS2018

Notes on the values of the volume entropy