Random Partitions and Cohen-Lenstra Heuristics

Published 9 Mar 2018 in math.NT, math.CO, and math.PR | (1803.03722v2)

Abstract: We investigate combinatorial properties of a family of probability distributions on finite abelian p-groups. This family includes several well-known distributions as specializations. These specializations have been studied in the context of Cohen-Lenstra heuristics and cokernels of families of random p-adic matrices.

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