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- W3100308768 abstract "Abstract We present a method, based on commutator methods, for the spectral analysis of uniquely ergodic dynamical systems. When applicable, it leads to the absolute continuity of the spectrum of the corresponding unitary operators. As an illustration, we consider time changes of horocycle flows, skew products over translations and Furstenberg transformations. For time changes of horocycle flows we obtain absolute continuity under assumptions weaker than those to be found in the literature, and for skew products over translations and Furstenberg transformations we obtain countable Lebesgue spectrum under assumptions not previously covered in the literature." @default.
- W3100308768 created "2020-11-23" @default.
- W3100308768 creator A5073329021 @default.
- W3100308768 date "2014-01-10" @default.
- W3100308768 modified "2023-09-24" @default.
- W3100308768 title "Commutator methods for the spectral analysis of uniquely ergodic dynamical systems" @default.
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- W3100308768 doi "https://doi.org/10.1017/etds.2013.76" @default.
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