Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump

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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.
34 pages, 7 figures

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Functional Analysis, Mathematical Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/160602

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0706.3192
 http://arxiv.org/abs/0706.3192

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arXiv