Density of mild mixing property for vertical flows of Abelian differentials
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- by Krzysztof Frączek
- Proc. Amer. Math. Soc. 137 (2009), 4129-4142
- DOI: https://doi.org/10.1090/S0002-9939-09-10025-4
- Published electronically: July 1, 2009
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Abstract:
We prove that if $g\geq 2$, then the set of all Abelian differentials $(M,\omega )$ for which the vertical flow is mildly mixing is dense in every stratum of the moduli space $\mathcal {H}_g$. The proof is based on a sufficient condition due to Frączek, Lemańczyk, and Lesigne guaranteeing mild mixing property of certain special flows over irrational rotations.References
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Bibliographic Information
- Krzysztof Frączek
- Affiliation: Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, ul. Chopina 12/18, 87-100 Toruń, Poland – and – Institute of Mathematics, Polish Academy of Science, ul. Śniadeckich 8, 00-956 Warszawa, Poland
- Email: fraczek@mat.uni.torun.pl
- Received by editor(s): November 19, 2008
- Received by editor(s) in revised form: March 19, 2009
- Published electronically: July 1, 2009
- Additional Notes: This research was partially supported by MNiSzW grant NN201 384834 and the Marie Curie “Transfer of Knowledge” program, project MTKD-CT-2005-030042 (TODEQ)
- Communicated by: Bryna Kra
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 137 (2009), 4129-4142
- MSC (2000): Primary 37A10, 37E35; Secondary 30F30
- DOI: https://doi.org/10.1090/S0002-9939-09-10025-4
- MathSciNet review: 2538574