Geodesic
Non-degenerate fixed points and mixing in flows on a 2-torus
Sbornik. Mathematics, Tome 194 (2003) no. 8, pp. 1195-1224 Cet article a éte moissonné depuis la source Math-Net.Ru

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A result of Sinai and Khanin on mixing in the special flow over a circle rotation with function having asymmetric logarithmic singularities is improved. 
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A. V. Kochergin. Non-degenerate fixed points and mixing in flows on a 2-torus. Sbornik. Mathematics, Tome 194 (2003) no. 8, pp. 1195-1224. http://geodesic.mathdoc.fr/item/SM_2003_194_8_a4/

[1] Kolmogorov A. N., “O dinamicheskikh sistemakh s integralnym invariantom na tore”, Dokl. AN SSSR, 93 (1953), 763–766 | MR | Zbl

[2] Kolmogorov A. N., “Théorie générale systémes et mécanique classique”, Proceedings of the International congress of mathematicians (Amsterdam, 1954), 1, North-Holland, Amsterdam, 1957, 315–333 | MR

[3] Kochergin A. V., “Ob otsutstvii peremeshivaniya u spetsialnykh potokov nad povorotom okruzhnosti i u potokov na dvumernom tore”, Dokl. AN SSSR, 205 (1972), 515–518 | MR | Zbl

[4] Kochergin A. V., “Zamena vremeni v potokakh i peremeshivanie”, Izv. AN SSSR. Ser. matem., 37 (1973), 1275–1298 | MR | Zbl

[5] Kochergin A. V., “O peremeshivanii v spetsialnykh potokakh nad perekladyvaniem otrezkov i v gladkikh potokakh na poverkhnostyakh”, Matem. sb., 96 (138):3 (1975), 471–502 | MR | Zbl

[6] Kochergin A. V., “Nevyrozhdennye sedla i otsutstvie peremeshivaniya”, Matem. zametki, 19:3 (1976), 453–468 | MR | Zbl

[7] Arnold V. I., “Topologicheskie i ergodicheskie svoistva zamknutykh 1-form s nesoizmerimymi periodami”, Funkts. analiz i ego prilozh., 25:2 (1991), 1–12 | MR | Zbl

[8] Sinai Ya. G., Khanin K. M., “Peremeshivanie nekotorykh klassov potokov nad povorotom okruzhnosti”, Funkts. analiz i ego prilozh., 26:3 (1992), 1–21 | MR | Zbl

[9] Khinchin A. Ya., Tsepnye drobi, Fizmatgiz, M., 1961 | MR

[10] Kochergin A. V., “Peremeshivayuschii spetsialnyi potok nad povorotom okruzhnosti s pochti lipshitsevoi funktsiei”, Matem. sb., 193:3 (2002), 51–78 | MR | Zbl

[11] Fayad B. R., Reparamétrage de flots irrationnels sur le tore, PhD thesis, L'École Polytechnique, Paris, 2000

[12] Arkhipov G. I., Sadovnichii V. A., Chubarikov V. N., Lektsii po matematicheskomu analizu, Vysshaya shkola, M., 1999