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ISSN 1079-6762

 
 

 

Well-approximable angles and mixing for flows on $\mathbb {T}^2$ with nonsingular fixed points


Author: A. Kochergin
Journal: Electron. Res. Announc. Amer. Math. Soc. 10 (2004), 113-121
MSC (2000): Primary 37E35, 37A25
DOI: https://doi.org/10.1090/S1079-6762-04-00136-2
Published electronically: October 26, 2004
MathSciNet review: 2119032
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Abstract | References | Similar Articles | Additional Information

Abstract: We consider special flows over circle rotations with an asymmetric function having logarithmic singularities. If some expressions containing singularity coefficients are different from any negative integer, then there exists a class of well-approximable angles of rotation such that the special flow over the rotation of this class is mixing.


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Additional Information

A. Kochergin
Affiliation: Department of Economics, Lomonosov Moscow State University, Leninskie Gory, Moscow 119992, Russia
Email: avk@econ.msu.ru

Received by editor(s): June 14, 2004
Published electronically: October 26, 2004
Additional Notes: The work was partially supported by the program “Leading Scientific Schools of Russian Federation", project no. NSh-457.2003.01.
Dedicated: To the Anniversary of Anatole Katok, my Friend and Teacher.
Communicated by: Svetlana Katok
Article copyright: © Copyright 2004 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.