Asymptotics via Steepest Descent for an Operator Riemann-Hilbert Problem
| dc.creator | Kamvissis, Spyridon | |
| dc.date | 1999-07-08 | |
| dc.date.accessioned | 2026-07-07T05:29:50Z | |
| dc.date.available | 2026-07-07T05:29:50Z | |
| dc.description | In this paper, we take the first step towards an extension of the nonlinear steepest descent method of Deift, Its and Zhou to the case of operator Riemann-Hilbert problems. In particular, we provide long range asymptotics for a Fredholm determinant arising in the computation of the probability of finding a string of n adjacent parallel spins up in the antiferromagnetic ground state of the spin 1/2 XXX Heisenberg Chain. Such a determinant can be expressed in terms of the solution of an operator Riemann-Hilbert factorization problem. | |
| dc.identifier | https://arxiv.org/abs/math/9907053 | |
| dc.identifier | http://arxiv.org/abs/math/9907053 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78794 | |
| dc.subject | Functional Analysis | |
| dc.title | Asymptotics via Steepest Descent for an Operator Riemann-Hilbert Problem | |
| dc.type | text |