Jungin Lee

activity

20242026

p

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

1 citations · 1 across the 6 of their papers we have counts for

collaborators

6 papers

math.NT2026

Cokernels of random $p$ -adic orthogonal matrices and their linearizations

Jungin Lee, Myungjun Yu

We study the linearization of the random $p$ -adic orthogonal matrix model. Let $A_{n}$ and $B_{n}$ be Haar-random $n \times n$ special orthogonal and alternating matrices over $\mathbb{…

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.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 $α_n = \frac{c…

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…

math.PR2025

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.NT2024★ 1 cited

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…

Cokernels of random p-adic orthogonal matrices and their linearizations

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

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