Jungin Lee

collaborators

5 papers

math.NT2026

A mod $p$ determinant criterion for Cohen--Lenstra convergence of random $p$ -adic matrices with prescribed zero patterns

Hyungmin Jang, Nathan Kaplan, Jungin Lee +1

We study the distribution of cokernels of Haar-random matrices over the $p$ -adic integers with prescribed zero patterns, motivated by the Cohen--Lenstra heuristics. A central featu…

math.NT2026

Random $p$ -adic matrices with fixed zero entries and the Cohen--Lenstra distribution

Dong Yeap Kang, Jungin Lee, Myungjun Yu

In this paper, we study the distribution of the cokernels of random $p$ -adic matrices with fixed zero entries. Let $X_{n}$ be a random $n \times n$ matrix over $Z_{p}$ in whic…

math.CO2026

Sharp threshold for universality of cokernels of classical random matrix models over the $p$ -adic integers

Jiwan Jung, Jungin Lee, Myungjun Yu

We prove that $\frac{l o g n}{n}$ is the sharp threshold for universality of the distribution of cokernels of random matrices over $Z_{p}$ . More precisely, let $Î±_n = \frac{…

math.PR2026

Distribution of the cokernels of determinantal row-sparse matrices

Jungin Lee, Myungjun Yu

We study the distribution of the cokernels of random row-sparse integral matrices $A_{n}$ according to the determinantal measure from a structured matrix $B_{n}$ with a parameter $k_n…

math.PR2025

Sharp threshold for universality of cokernels of random matrices over finite fields

Jungin Lee

In this paper, we determine the sharp threshold for universality of cokernels of random matrices over finite fields. More precisely, we prove the following: given any constant $c>1…

A mod p determinant criterion for Cohen--Lenstra convergence of random p-adic matrices with prescribed zero patterns

Random p-adic matrices with fixed zero entries and the Cohen--Lenstra distribution

Sharp threshold for universality of cokernels of classical random matrix models over the p-adic integers

Distribution of the cokernels of determinantal row-sparse matrices

Sharp threshold for universality of cokernels of random matrices over finite fields

A mod $p$ determinant criterion for Cohen--Lenstra convergence of random $p$ -adic matrices with prescribed zero patterns

Random $p$ -adic matrices with fixed zero entries and the Cohen--Lenstra distribution

Sharp threshold for universality of cokernels of classical random matrix models over the $p$ -adic integers