We obtain asymptotics in n for the n-dimensional Hankel determinant whose symbol is the Gaussian multiplied by a step-like function. We use Riemann-Hilbert analysis of the related system of orthogonal polynomials to obtain our results.
Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump / Its, A.; Krasovsky, I.. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - 458:(2007), pp. 215-247.
Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump
A. Its;I. Krasovsky
2007-01-01
Abstract
We obtain asymptotics in n for the n-dimensional Hankel determinant whose symbol is the Gaussian multiplied by a step-like function. We use Riemann-Hilbert analysis of the related system of orthogonal polynomials to obtain our results.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
0706.3192.pdf
non disponibili
Descrizione: preprint
Tipologia:
Documento in Pre-print
Licenza:
Non specificato
Dimensione
399.25 kB
Formato
Adobe PDF
|
399.25 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
