Invariant graphs and spectral type of Schr\"odinger operators

zbMath1472.35106arXiv2004.09137MaRDI QIDQ4992241

Artur Avila, Martin Leguil, Konstantin M. Khanin

Publication date: 7 June 2021

Full work available at URL: https://arxiv.org/abs/2004.09137

zbMATH Keywords

Schrödinger operatorsinvariant curvesabsolutely continuous spectrumAubry-Mather theoryquasi-periodic potentials

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Schrödinger operator, Schrödinger equation (35J10) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40)

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