Jungin Lee

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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…

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

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