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

collaborators

10 papers

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.NT2026

Representations of binary quadratic forms by quaternary quadratic forms

Wooyeon Kim, Andreas Wieser, Pengyu Yang

We prove a local-global principle for primitive representations of binary quadratic forms by quaternary quadratic forms. Our method is a variant of Linnik's ergodic method showing…

math.PR2023

Effective density of non-degenerate random walks on homogeneous spaces

Wooyeon Kim, Constantin Kogler

We prove effective density of random walks on homogeneous spaces, assuming that the underlying measure is supported on matrices generating a dense subgroup and having algebraic ent…

math.NT2023

Poissonian pair correlation for directions in multi-dimensional affine lattices, and escape of mass estimates for embedded horospheres

Wooyeon Kim, Jens Marklof

We prove the convergence of moments of the number of directions of affine lattice vectors that fall into a small disc, under natural Diophantine conditions on the shift. Furthermor…

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