Non-intersecting, simple, symmetric random walks and the extended Hahn kernel
| dc.creator | Johansson, Kurt | |
| dc.date | 2004-09-01 | |
| dc.date.accessioned | 2026-07-07T05:11:43Z | |
| dc.date.available | 2026-07-07T05:11:43Z | |
| dc.description | Consider $a$ particles performing simple, symmetric, non-intersecting random walks, starting at points $2(j-1)$, $1\le j\le a$ at time 0 and ending at $2(j-1)+c-b$ at time $b+c$. This can also be interpreted as a random rhombus tiling of an $abc$-hexagon, or as a random boxed planar partition confined to a rectangular box with side lengths $a$, $b$ and $c$. The positions of the particles at all times gives a determinantal point process with a correlation kernel given in terms of the associated Hahn polynomials. In a suitable scaling limit we obtain non-intersecting Brownian motions which can be related to Dysons's Hermitian Brownian motion via a suitable transformation. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/math/0409013 | |
| dc.identifier | http://arxiv.org/abs/math/0409013 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72339 | |
| dc.subject | Probability | |
| dc.subject | Combinatorics | |
| dc.subject | 60K35, 15A32 | |
| dc.title | Non-intersecting, simple, symmetric random walks and the extended Hahn kernel | |
| dc.type | text |