Geodesic
Non-degenerate fixed points and mixing in flows on a 2-torus. II
Sbornik. Mathematics, Tome 195 (2004) no. 3, pp. 317-346 
A. V. Kochergin. Non-degenerate fixed points and mixing in flows on a 2-torus. II. Sbornik. Mathematics, Tome 195 (2004) no. 3, pp. 317-346. http://geodesic.mathdoc.fr/item/SM_2004_195_3_a1/
@article{SM_2004_195_3_a1,
     author = {A. V. Kochergin},
     title = {Non-degenerate fixed points and mixing in~flows on {a~2-torus.~II}},
     journal = {Sbornik. Mathematics},
     pages = {317--346},
     year = {2004},
     volume = {195},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2004_195_3_a1/}
}
TY  - JOUR
AU  - A. V. Kochergin
TI  - Non-degenerate fixed points and mixing in flows on a 2-torus. II
JO  - Sbornik. Mathematics
PY  - 2004
SP  - 317
EP  - 346
VL  - 195
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/SM_2004_195_3_a1/
LA  - en
ID  - SM_2004_195_3_a1
ER  - 
%0 Journal Article
%A A. V. Kochergin
%T Non-degenerate fixed points and mixing in flows on a 2-torus. II
%J Sbornik. Mathematics
%D 2004
%P 317-346
%V 195
%N 3
%U http://geodesic.mathdoc.fr/item/SM_2004_195_3_a1/
%G en
%F SM_2004_195_3_a1

Voir la notice de l'article provenant de la source Math-Net.Ru

A mixing result is proved for the special flow constructed from an arbitrary irrational rotation of the circle and a strongly asymmetric function with logarithmic singularities.

[1] Kochergin A. V., “Nevyrozhdennye nepodvizhnye tochki i peremeshivanie v potokakh na dvumernom tore”, Matem. sb., 194:8 (2003), 83–112 | MR | Zbl

[2] 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

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

[4] 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

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

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

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

[8] 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