Structure of the spectrum of the Schrödinger difference operator with almost-periodic potential in the vicinity of its left edge

DOI10.1007/BF01086023zbMath0585.39003OpenAlexW2082760922MaRDI QIDQ1071188

Yakov G. Sinai

Publication date: 1985

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01086023

zbMATH Keywords

Schrödinger operatorspectrumperiodic potentialFrenkel-Kontorova modelalmost

Mathematics Subject Classification ID

Related Items (5)

On the density of states of the one dimensional quasi-periodic Schödinger operators ⋮ Regularity of the rotation number for the one-dimensional time-continuous Schrödinger equation ⋮ Hölder continuity of the rotation number for quasi-periodic co-cycles in \({SL(2, \mathbb R)}\) ⋮ Anderson localization for one-dimensional difference Schrödinger operator with quasiperiodic potential ⋮ Real factors of type III\(_0\)

Cites Work

• A metal-insulator transition for the almost Mathieu model
• Percival variational principle for invariant measures and commensurate- incommensurate phase transitions in one-dimensional chains
• Topological transitivity of one class of dynamical systems and flows of frames on manifolds of negative curvature
• Existence of quasi-periodic orbits for twist homeomorphisms of the annulus
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