Well-approximable angles and mixing for flows on 𝕋² with nonsingular fixed points
Electronic research announcements of the American Mathematical Society, Tome 10 (2004), pp. 113-121

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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.
DOI : 10.1090/S1079-6762-04-00136-2

Kochergin, A. 1

1 Department of Economics, Lomonosov Moscow State University, Leninskie Gory, Moscow 119992, Russia
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Kochergin, A. Well-approximable angles and mixing for flows on 𝕋² with nonsingular fixed points. Electronic research announcements of the American Mathematical Society, Tome 10 (2004), pp. 113-121. doi: 10.1090/S1079-6762-04-00136-2

[1] Arnol′D, V. I. Topological and ergodic properties of closed 1-forms with incommensurable periods Funktsional. Anal. i Prilozhen. 1991

[2] Sinaä­, Ya. G., Khanin, K. M. Mixing of some classes of special flows over rotations of the circle Funktsional. Anal. i Prilozhen. 1992 1 21

[3] KoäErgin, A. V. Nondegenerate saddles, and the absence of mixing Mat. Zametki 1976 453 468

[4] Kochergin, A. V. Nondegenerate fixed points and mixing in flows on a two-dimensional torus Mat. Sb. 2003 83 112

[5] Kochergin, A. V. Nondegenerate fixed points and mixing in flows on a two-dimensional torus. II Mat. Sb. 2004 15 46

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