Random Partitions and Cohen-Lenstra Heuristics
arXiv:1803.03722 · doi:10.1007/s00026-019-00425-y
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.
21 pages, minor revisions to Section 5