A family of multiplicative statistics on integer partitions that are symmetric under the conjunction of Young diagrams is constructed. It is shown that all symmetric multiplicative statistics lie in this family. A limit shape of Young diagrams under these statistics is found.
| Original language | English |
|---|---|
| Pages (from-to) | 3624-3629 |
| Number of pages | 6 |
| Journal | Journal of Mathematical Sciences |
| Volume | 96 |
| Issue number | 5 |
| DOIs | |
| State | Published - 1 Jan 1999 |
ID: 32734724