Random Partitions and Cohen-Lenstra Heuristics
Number Theory
2022-01-25 v2 Combinatorics
Probability
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.
Keywords
Cite
@article{arxiv.1803.03722,
title = {Random Partitions and Cohen-Lenstra Heuristics},
author = {Jason Fulman and Nathan Kaplan},
journal= {arXiv preprint arXiv:1803.03722},
year = {2022}
}
Comments
21 pages, minor revisions to Section 5