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- W4367694299 abstract "We establish the absolute continuity of the integrated density of states (IDS) for quasi-periodic Schrodinger operators with a large trigonometric potential and Diophantine frequency. This partially solves Eliasson's open problem in 2002. Furthermore, this result can be extended to a class of quasi-periodic long-range operators on $ell^2(Z^d)$. Our proof is based on stratified quantitative almost reducibility results of dual cocycles. Specifically, we prove that a generic analytic one-parameter family of cocycles, sufficiently close to constant coefficients, is reducible except for a zero Hausdorff dimension set of parameters. This result affirms Eliasson's conjecture in 2017." @default.
- W4367694299 created "2023-05-03" @default.
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- W4367694299 date "2023-04-30" @default.
- W4367694299 modified "2023-09-25" @default.
- W4367694299 title "Absolute continuity of the integrated density of states in the localized regime" @default.
- W4367694299 doi "https://doi.org/10.48550/arxiv.2305.00457" @default.
- W4367694299 hasPublicationYear "2023" @default.
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