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

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

2005-01-13

arxiv.org/abs/math/0501203v1

Mathematics

Dynamical Systems

Scientific paper

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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