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A dichotomy between discrete and continuous spectrum for a class of special flows over rotations
Measure rigidity beyond uniform hyperbolicity: invariant measures for cartan actions on tori
1. | Department of Mathematics, University of South Alabama, Mobile, AL 36688, United States |
2. | Department of Mathematics, The Pennsylvania State University, University Park, PA 16802, United States |
We also show that both ergodic and geometric properties of such a measure are very close to the corresponding properties of the Lebesgue measure with respect to the linear action $\a_0$.
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