Discrete orthogonal polynomials: Asymptotics and applications

116 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Exact mapping between system-reservoir quantum models and semi-infinite discrete chains using orthogonal polynomials (2010, background): “where Ql(n, s) = Ql(n, s, 0, N) is a Hahn polynomial [19, 21].”
Long time asymptotic behavior of the focusing nonlinear Schrödinger equation (2016, unknown): “Motivated by examples in the literature (e.g. [7], [2]) we introduce the following transformation which prepares the residue coefﬁcients for asymptotic analysis Let (cid:13) 1 , 2 , ... , N and 1 , ..., N (cid:13) .”
The Steepest Descent Method for Orthogonal Polynomials on the Real Line with Varying Weights (2008, methodology): “In the late 1990s new Riemann-Hilbert techniques originally developed for the asymptotic analysis of problems in integrable nonlinear partial differential equations were applied to the asymptotic analysis of Riemann-Hilbert problems encoding systems of orthogonal polynomials with respect to varying…”
A pedestrian's view on interacting particle systems, KPZ universality and random matrices (2008, methodology): “Orthogonal polynomials with respect to discrete measures have been analyzed by Riemann–Hilbert techniques in [8].”
Nonintersecting paths and the Hahn orthogonal polynomial ensemble (2008, background): “Subtle analytical results about asymptotic properties of discrete orthogonal polynomial ensembles can be found in literature (see [BKMM], [J]), but they deal with static rather than dynamical ensembles.”