Jack deformations of Plancherel measures and traceless Gaussian random matrices
| dc.creator | Matsumoto, Sho | |
| dc.date | 2008-10-31 | |
| dc.date | 2008-11-28 | |
| dc.date.accessioned | 2026-07-07T12:40:23Z | |
| dc.date.available | 2026-07-07T12:40:23Z | |
| dc.description | We study random partitions $λ=(λ_1,λ_2,...,λ_d)$ of $n$ whose length is not bigger than a fixed number $d$. Suppose a random partition $λ$ is distributed according to the Jack measure, which is a deformation of the Plancherel measure with a positive parameter $α>0$. We prove that for all $α>0$, in the limit as $n \to \infty$, the joint distribution of scaled $λ_1,..., λ_d$ converges to the joint distribution of some random variables from a traceless Gaussian $β$-ensemble with $β=2/α$. We also give a short proof of Regev's asymptotic theorem for the sum of $β$-powers of $f^λ$, the number of standard tableaux of shape $λ$. | |
| dc.description | 18 pages | |
| dc.identifier | https://arxiv.org/abs/0810.5619 | |
| dc.identifier | http://arxiv.org/abs/0810.5619 | |
| dc.identifier | The Electronic Journal of Combinatorics 15 (2008), R149 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/219427 | |
| dc.subject | Combinatorics | |
| dc.subject | Probability | |
| dc.subject | 60C05; 05E10 | |
| dc.title | Jack deformations of Plancherel measures and traceless Gaussian random matrices | |
| dc.type | text |