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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.NT2024★ 1 cited
Random -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 -adic matrices with fixed zero entries. Let be a random matrix over in whic…