Shifted Schur process and asymptotics of large random strict plane partitions
| dc.creator | Vuletić, Mirjana | |
| dc.date | 2007-02-20 | |
| dc.date.accessioned | 2026-07-07T12:51:41Z | |
| dc.date.available | 2026-07-07T12:51:41Z | |
| dc.description | In this paper we define the shifted Schur process as a measure on sequences of strict partitions. This process is a generalization of the shifted Schur measure introduced in [TW] and [Mat] and is a shifted version of the Schur process introduced in [OR]. We prove that the shifted Schur process defines a Pfaffian point process. We further apply this fact to compute the bulk scaling limit of the correlation functions for a measure on strict plane partitions which is an analog of the uniform measure on ordinary plane partitions. As a byproduct, we obtain a shifted analog of the famous MacMahon's formula. | |
| dc.description | AMSTex, 48 pages, 12 figures | |
| dc.identifier | https://arxiv.org/abs/math-ph/0702068 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0702068 | |
| dc.identifier | Int. Math. Res. Notices (2007), Vol 2007, article ID rnm043, 53 pages | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223072 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Combinatorics | |
| dc.title | Shifted Schur process and asymptotics of large random strict plane partitions | |
| dc.type | text |