Asymptotics of discrete orthogonal polynomials and the continuum limit of the Toda lattice

DOI10.1088/0305-4470/34/48/326zbMath1018.37042OpenAlexW2069085700MaRDI QIDQ2773091

Alexander I. Aptekarev, Walter Van Assche

Publication date: 16 March 2003

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/e0e8d32f7ff4291c937f1cbc8eafc0bbb5361df8

zbMATH Keywords

continuum limitToda latticediscrete orthogonal polynomials

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (11)

On the variational representation of solutions to some quasilinear equations and systems of hyperbolic type on the basis of potential theory ⋮ Interval of equilibrium for the logarithmic potential of an extremal measure with a constraint, and the continuum limit of the Toda lattice ⋮ Asymptotic behavior of the spectrum of combination scattering at Stokes phonons ⋮ Dynamics of supports of extremal measures in the field of a point charge ⋮ WKB (Liouville-Green) analysis of second order difference equations and applications ⋮ A variational representation of solutions to a certain hyperbolic system of equations by using a logarithmic potential in the external field ⋮ Varying weights for orthogonal polynomials with monotonically varying recurrence coefficients ⋮ Direct and inverse problems for vector logarithmic potentials with external fields ⋮ Phase transitions and equilibrium measures in random matrix models ⋮ Recurrence coefficients of Toda-type orthogonal polynomials I. Asymptotic analysis ⋮ Orthogonal polynomials with respect to varying weights

This page was built for publication: Asymptotics of discrete orthogonal polynomials and the continuum limit of the Toda lattice