Random partitions with non negative rth differences
| dc.creator | Canfield, Rod | |
| dc.creator | Corteel, Sylvie | |
| dc.creator | Hitczenko, Pawel | |
| dc.date | 2001-10-17 | |
| dc.date.accessioned | 2026-07-07T04:43:54Z | |
| dc.date.available | 2026-07-07T04:43:54Z | |
| dc.description | Let $P_r(n)$ be the set of partitions of n with non negative rth differences. Let $λ$ be a partition chosen uniformly at random among the set $P_r(n)$. Let $d(λ)$ be a positive rth difference chosen uniformly at random in $λ$. The aim of this work is to show that for every $m\ge 1$, the probability that $d(λ)\ge m$ approaches $m^{-1/r}$ as $n\to\infty$. To prove this result we use bijective, asymptotic/analytic, and probabilistic combinatorics. | |
| dc.identifier | https://arxiv.org/abs/math/0110188 | |
| dc.identifier | http://arxiv.org/abs/math/0110188 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62423 | |
| dc.subject | Combinatorics | |
| dc.subject | 05A17 | |
| dc.title | Random partitions with non negative rth differences | |
| dc.type | text |