Publication: Multiple mixing and parabolic divergence in smooth area-preserving flows on higher genus surfaces
Multiple mixing and parabolic divergence in smooth area-preserving flows on higher genus surfaces
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Kanigowski, A., Kułaga-Przymus, J., & Ulcigrai, C. (2019). Multiple mixing and parabolic divergence in smooth area-preserving flows on higher genus surfaces. Journal of the European Mathematical Society, 21(12), 3797–3855. https://doi.org/10.4171/jems/914
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We consider typical area-preserving flows on higher genus surfaces and prove that the flow restricted to mixing minimal components is mixing of all orders, thus answering affirmatively Rokhlin’s multiple mixing question in this context. The main tool is a variation of the Ratner property originally proved by Ratner for the horocycle flow, i.e. the switchable Ratner property introduced by Fayad and Kanigowski for special flows over rotations. This property, which is of independent interest, provides a quantitative description of the pa
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- Kanigowski, Adam
- Kułaga-Przymus, Joanna
- Ulcigrai, Corinna
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Kanigowski, A., Kułaga-Przymus, J., & Ulcigrai, C. (2019). Multiple mixing and parabolic divergence in smooth area-preserving flows on higher genus surfaces. Journal of the European Mathematical Society, 21(12), 3797–3855. https://doi.org/10.4171/jems/914
