Spectral Theory of Schrödinger Operators over Circle Diffeomorphisms

DOI10.1093/IMRN/RNAA362zbMath1501.37038OpenAlexW3132456377MaRDI QIDQ5088639

Svetlana Ya. Jitomirskaya, Saša Kocić

Publication date: 13 July 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imrn/rnaa362

zbMATH Keywords

Schrödinger operatorsergodic potentialscircle map dynamicsLiouville rotation numberGordon-type theoremYoccoz's arithmetic condition

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Dynamical systems involving maps of the circle (37E10) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40) Rotation numbers and vectors (37E45) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

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