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

### A. Kochergin

**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.

*Copyright 2004 American Mathematical Society*

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#### Article Info

- ERA Amer. Math. Soc.
**10** (2004), pp. 113-121
- Publisher Identifier: S 1079-6762(04)00136-2
- 2000
*Mathematics Subject Classification*. Primary 37E35, 37A25
- Received by editors June 14, 2004
- Received by editors in revised form August 17, 2004
- Posted on October 26, 2004
- Dedicated: To the Anniversary of Anatole Katok, my Friend and Teacher.
- Communicated by Svetlana Katok
- Comments (When Available)

**A. Kochergin**

Department of Economics,
Lomonosov Moscow State University, Leninskie Gory,
Moscow 119992, Russia

*E-mail address:* `avk@econ.msu.ru`

The work was partially supported by the program ``Leading Scientific
Schools of Russian Federation", project no. NSh-457.2003.01.

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