The arithmetic version of the frequency transition conjecture: new proof and generalization

DOI10.1007/s42543-021-00040-yOpenAlexW3190925108WikidataQ113890568 ScholiaQ113890568MaRDI QIDQ2089076

Xin Zhao, Lingrui Ge, Jiangong You

Publication date: 6 October 2022

Published in: Peking Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s42543-021-00040-y

zbMATH Keywords

reducibility theorythe almost Mathieu operatorsthe frequency transition conjecture

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Linear difference operators (47B39)

Related Items (3)

Stability of the non-critical spectral properties i: arithmetic absolute continuity of the integrated density of states ⋮ One-dimensional quasiperiodic operators: global theory, duality, and sharp analysis of small denominators ⋮ On the almost reducibility conjecture

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