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A Dichotomy between Discrete and Continuous Spectrum for a Class of Special Flows over Rotations

Bassam Fayad·Alistair Windsor
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Abstract

We provide sufficient conditions on a positive function so that its associated special flow over any irrational rotation is either weak mixing or $L^2$-conjugate to a suspension flow.

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Bassam Fayad, Alistair Windsor. 2005-01-13. A Dichotomy between Discrete and Continuous Spectrum for a Class of Special Flows over Rotations. https://arxiv.org/abs/math/0501203

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