Invariant Measures for Integrable Spin Chains and an Integrable Discrete Nonlinear Schrödinger Equation

DOI10.1137/19M1265314zbMath1433.35352arXiv1807.08801OpenAlexW2999130160MaRDI QIDQ5208768

Yannis Angelopoulos, Rowan Killip, Monica Visan

Publication date: 10 January 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.08801

zbMATH Keywords

Gibbs measureintegrable spin chainHasimoto transformAblowitz-Ladik

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Soliton equations (35Q51) Geometric theory, characteristics, transformations in context of PDEs (35A30) Statistical mechanics of magnetic materials (82D40) PDEs in connection with statistical mechanics (35Q82)

Related Items (2)

Generalized Gibbs ensemble of the Ablowitz-Ladik lattice, circular \(\beta\)-ensemble and double confluent Heun equation ⋮ Continuum limit for the Ablowitz–Ladik system

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