A continuum limit of the relativistic Toda lattice: asymptotic theory of discrete Laurent orthogonal polynomials with varying recurrence coefficients

DOI10.1088/0305-4470/38/15/008zbMath1092.37049OpenAlexW2060547371MaRDI QIDQ4676299

Walter Van Assche, Jonathan Coussement

Publication date: 3 May 2005

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

Full work available at URL: https://semanticscholar.org/paper/a59eb031e13635974bdee6ac89c72b89a37d44e5

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) PDEs in connection with relativity and gravitational theory (35Q75) Difference operators (39A70) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05) Lattice dynamics; integrable lattice equations (37K60)

Related Items (7)

Multidimensional Toda lattices: continuous and discrete time ⋮ Superlinear convergence of the rational Arnoldi method for the approximation of matrix functions ⋮ On the orthogonality and convolution orthogonality via the Kontorovich-Lebedev transform ⋮ Asymptotics of recurrence relation coefficients, Hankel determinant ratios, and root products associated with Laurent polynomials orthogonal with respect to varying exponential weights ⋮ Darboux transformation and explicit solutions for the derivative versions of Toda equation ⋮ Spectrum and generation of solutions of the Toda lattice ⋮ Discrete relativistic Toda equation from the perspective of shifted \(LR\) transformation

This page was built for publication: A continuum limit of the relativistic Toda lattice: asymptotic theory of discrete Laurent orthogonal polynomials with varying recurrence coefficients