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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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