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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.