Riemann-Hilbert problem and the discrete Bessel kernel
| dc.creator | Borodin, Alexei | |
| dc.date | 1999-12-12 | |
| dc.date | 2000-03-09 | |
| dc.date.accessioned | 2026-07-07T05:32:14Z | |
| dc.date.available | 2026-07-07T05:32:14Z | |
| dc.description | We use discrete analogs of Riemann-Hilbert problem's methods to derive the discrete Bessel kernel which describes the poissonized Plancherel measures for symmetric groups. To do this we define discrete analogs of a Riemann-Hilbert problem and of an integrable integral operator and show that computing the resolvent of a discrete integrable operator can be reduced to solving a corresponding discrete Riemann-Hilbert problem. We also give an example, explicitly solvable in terms of classical special functions, when a discrete Riemann-Hilbert problem converges in a certain scaling limit to a conventional one; the example originates from the representation theory of the infinite symmetric group. | |
| dc.description | AMSTeX, 23 pages. Formalism of general discrete integrable operators has been added | |
| dc.identifier | https://arxiv.org/abs/math/9912093 | |
| dc.identifier | http://arxiv.org/abs/math/9912093 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79589 | |
| dc.subject | Combinatorics | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Mathematical Physics | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Riemann-Hilbert problem and the discrete Bessel kernel | |
| dc.type | text |