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math.NT2026
Cokernels of random -adic orthogonal matrices and their linearizations
Jungin Lee, Myungjun Yu
We study the linearization of the random -adic orthogonal matrix model. Let and be Haar-random special orthogonal and alternating matrices over $\mathbb{…
math.NT2026
A mod determinant criterion for Cohen--Lenstra convergence of random -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 -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 -adic integers
Jiwan Jung, Jungin Lee, Myungjun Yu
We prove that is the sharp threshold for universality of the distribution of cokernels of random matrices over . More precisely, let $α_n = \frac{c…