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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…
math.CO2017
Johnson's bijections and their application to counting simultaneous core partitions
Jineon Baek, Hayan Nam, Myungjun Yu
Johnson recently proved Armstrong's conjecture which states that the average size of an -core partition is . He used various coordinate changes and one…
math.CO2017★ 5 cited
A bijective proof of Amdeberhan's conjecture on the number of -core partitions with distinct parts
Jineon Baek, Hayan Nam, Myungjun Yu
Amdeberhan conjectured that the number of -core partitions with distinct parts for an odd integer is . This conjecture was first proved by Yan, Qin, Jin and Z…