Abstract
A large class of discrete quasiperiodic operators is shown to be decomposed into orbits ofSL(2,Z) action with equal densities of states. Moreover under some natural assumptions all nontrivial representatives of the mentioned action transform operators with pure point spectrum into those with absolutely continuous spectrum. Some applications of these results are presented.
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Communicated by Ya. G. Sinai
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Mandelshtam, V.A., Zhitomirskaya, S.Y. 1D-quasiperiodic operators. Latent symmetries. Commun.Math. Phys. 139, 589–604 (1991). https://doi.org/10.1007/BF02101881
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DOI: https://doi.org/10.1007/BF02101881