Myungjun Yu

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

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3 papers

math.NT2026★ 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…

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…

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

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