On the Ranks of an Ergodic Automorphism $T\times T$
Funkcionalʹnyj analiz i ego priloženiâ, Tome 35 (2001) no. 2, pp. 84-87.

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

@article{FAA_2001_35_2_a10,
     author = {V. V. Ryzhikov},
     title = {On the {Ranks} of an {Ergodic} {Automorphism} $T\times T$},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {84--87},
     publisher = {mathdoc},
     volume = {35},
     number = {2},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2001_35_2_a10/}
}
TY  - JOUR
AU  - V. V. Ryzhikov
TI  - On the Ranks of an Ergodic Automorphism $T\times T$
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 2001
SP  - 84
EP  - 87
VL  - 35
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_2001_35_2_a10/
LA  - ru
ID  - FAA_2001_35_2_a10
ER  - 
%0 Journal Article
%A V. V. Ryzhikov
%T On the Ranks of an Ergodic Automorphism $T\times T$
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 2001
%P 84-87
%V 35
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_2001_35_2_a10/
%G ru
%F FAA_2001_35_2_a10
V. V. Ryzhikov. On the Ranks of an Ergodic Automorphism $T\times T$. Funkcionalʹnyj analiz i ego priloženiâ, Tome 35 (2001) no. 2, pp. 84-87. http://geodesic.mathdoc.fr/item/FAA_2001_35_2_a10/

[1] Vershik A. M., Zapiski nauchnykh seminarov LOMI, 72, 1977, 26–61 | MR | Zbl

[2] Ferenczi S., “Systems of finite rank”, Colloquium Mathematicum, 73:1 (1997), 35–65 | DOI | MR | Zbl

[3] Goodson G. R., Ryzhikov V. V., “Conjugations, joinings, and direct products of locally rank one dynamical systems”, J. Dynamical and Control Systems, 3 (1997), 321–341 | DOI | MR | Zbl

[4] Katok A., Constructions in ergodic theory, Preprint | MR

[5] Oseledets V. I., Matem. zametki, 5:3 (1969), 323–326 | MR | Zbl

[6] Ryzhikov V. V., “Peremeshivanie, rang i minimalnoe samoprisoedinenie deistvii s invariantnoi meroi”, Matem. sb., 183:3 (1992), 133–160 | MR

[7] Stepin A. M., “Spektralnye svoistva tipichnykh dinamicheskikh sistem”, Izv. AN SSSR, ser. matem., 50 (1986), 801–834 | MR