Geodesic
Arithmetic isomorphism of hyperbolic toral automorphisms and sofic shifts
Funkcionalʹnyj analiz i ego priloženiâ, Tome 26 (1992) no. 3, pp. 22-27.

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

@article{FAA_1992_26_3_a1,
     author = {A. M. Vershik},
     title = {Arithmetic isomorphism of hyperbolic toral automorphisms and sofic shifts},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {22--27},
     publisher = {mathdoc},
     volume = {26},
     number = {3},
     year = {1992},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_1992_26_3_a1/}
}
TY  - JOUR
AU  - A. M. Vershik
TI  - Arithmetic isomorphism of hyperbolic toral automorphisms and sofic shifts
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 1992
SP  - 22
EP  - 27
VL  - 26
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_1992_26_3_a1/
LA  - ru
ID  - FAA_1992_26_3_a1
ER  - 
%0 Journal Article
%A A. M. Vershik
%T Arithmetic isomorphism of hyperbolic toral automorphisms and sofic shifts
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 1992
%P 22-27
%V 26
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_1992_26_3_a1/
%G ru
%F FAA_1992_26_3_a1
A. M. Vershik. Arithmetic isomorphism of hyperbolic toral automorphisms and sofic shifts. Funkcionalʹnyj analiz i ego priloženiâ, Tome 26 (1992) no. 3, pp. 22-27. http://geodesic.mathdoc.fr/item/FAA_1992_26_3_a1/

[1] Adler R., Weiss V., “Entropy, a complete metric invariant for automorphisms of the torus”, Proc. Nat. Acad. Sci. USA, 57:6 (1967), 1573–1576 | DOI | MR | Zbl

[2] Sinai Ya.G., “Markovskie rizbieniya i $Y$-diffeomorfizmy”, Funkts. anal. i ego pril., 2:1 (1968), 64–89 | MR | Zbl

[3] Vowen R., “Markov partitions for axiom $A$ diffeomorphism”, Amer. J. Math., 92:3 (1970), 725–727 | DOI | MR

[4] Gurevich B.M., Sinai Ya.G., “Avtomorfizmy tora i tsepi Markova”, Dopolnenie k knige P. Billingsli «Ergodicheskaya teoriya i teoriya informatsii», Mir, M. | MR

[5] Cawley E., “Smooth Markov Partitions and Toral Automorphims”, Erg. theory and Dynam. Syst., 11:4 (1991), 633–652 | DOI | MR

[6] Kornfeld I.P., Sinai Ya.G., Fomin S.V., Ergodicheskaya teoriya, Nauka, M., 1980 | MR

[7] Vershik A.M., The fibadic expasions of real numbers and adic transformation, Prep. Report Inst. Mittag-Leffler, no. 4, 1991/1992, 9 pp. | MR

[8] Vershik A.M., “Teorema o periodicheskoi markovskoi approksimatsii v ergodicheskoi teorii”, Zapiski nauchn. seminarov LOMI, 115, 1982, 72–82 | MR | Zbl

[9] Weiss V., “Subshifts of finite type and sofic systems”, Monats. Math., 77 (1973), 462–474 | DOI | MR | Zbl

[10] Livshic A.N.. Vershik A.M., “Adic models of ergodic transformations, spectral theory, and related topics”, Advances in Soviet Mathematics, AMS, 9 (1992), 185–204 | MR