The z-measures on partitions, Pfaffian point processes, and the matrix hypergeometric kernel
| dc.creator | Strahov, Eugene | |
| dc.date | 2009-05-13 | |
| dc.date.accessioned | 2026-07-07T13:14:25Z | |
| dc.date.available | 2026-07-07T13:14:25Z | |
| dc.description | We consider a point process on one-dimensional lattice originated from the harmonic analysis on the infinite symmetric group, and defined by the z-measures with the deformation (Jack) parameter 2. We derive an exact Pfaffian formula for the correlation function of this process. Namely, we prove that the correlation function is given as a Pfaffian with a matrix kernel. The kernel is given in terms of the Gauss hypergeometric functions, and can be considered as a matrix analogue of the Hypergeometric kernel introduced by A. Borodin and G. Olshanski. Our result holds for all values of admissible complex parameters. | |
| dc.description | 38 pages | |
| dc.identifier | https://arxiv.org/abs/0905.1994 | |
| dc.identifier | http://arxiv.org/abs/0905.1994 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/230200 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Combinatorics | |
| dc.title | The z-measures on partitions, Pfaffian point processes, and the matrix hypergeometric kernel | |
| dc.type | text |