Infinite wedge and random partitions
| dc.creator | Okounkov, Andrei | |
| dc.date | 1999-07-20 | |
| dc.date | 2000-02-02 | |
| dc.date.accessioned | 2026-07-07T05:29:58Z | |
| dc.date.available | 2026-07-07T05:29:58Z | |
| dc.description | Using techniques from integrable systems, we obtain a number of exact results for random partitions. In particular, we prove a simple formula for correlation functions of what we call the Schur measure on partitions (which is a far reaching generalization of the Plancherel measure, see math.CO/9905032) and also show that these correlations functions are tau-functions for the Toda lattice hierarchy. Also we give a new proof of the formula due to Bloch and the author, see alg-geom/9712009, for the so called n-point functions of the uniform measure on partitions and comment on the local structure of a typical partition. | |
| dc.description | LaTeX, 29 pages | |
| dc.identifier | https://arxiv.org/abs/math/9907127 | |
| dc.identifier | http://arxiv.org/abs/math/9907127 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78849 | |
| dc.subject | Representation Theory | |
| dc.subject | Mathematical Physics | |
| dc.subject | Combinatorics | |
| dc.subject | Probability | |
| dc.title | Infinite wedge and random partitions | |
| dc.type | text |