Geodesic
Invariant measure with maximal entropy for a U-diffeomorphism
Funkcionalʹnyj analiz i ego priloženiâ, Tome 4 (1970) no. 4, pp. 21-30.

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

@article{FAA_1970_4_4_a2,
     author = {B. M. Gurevich},
     title = {Invariant measure with maximal entropy for a {U-diffeomorphism}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {21--30},
     publisher = {mathdoc},
     volume = {4},
     number = {4},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_1970_4_4_a2/}
}
TY  - JOUR
AU  - B. M. Gurevich
TI  - Invariant measure with maximal entropy for a U-diffeomorphism
JO  - Funkcionalʹnyj analiz i ego priloženiâ
PY  - 1970
SP  - 21
EP  - 30
VL  - 4
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FAA_1970_4_4_a2/
LA  - ru
ID  - FAA_1970_4_4_a2
ER  - 
%0 Journal Article
%A B. M. Gurevich
%T Invariant measure with maximal entropy for a U-diffeomorphism
%J Funkcionalʹnyj analiz i ego priloženiâ
%D 1970
%P 21-30
%V 4
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FAA_1970_4_4_a2/
%G ru
%F FAA_1970_4_4_a2
B. M. Gurevich. Invariant measure with maximal entropy for a U-diffeomorphism. Funkcionalʹnyj analiz i ego priloženiâ, Tome 4 (1970) no. 4, pp. 21-30. http://geodesic.mathdoc.fr/item/FAA_1970_4_4_a2/

[1] Anosov D.V., Geodezicheskie potoki na zamknutykh rimanovykh mnogoobraziyakh otritsatelnoi krivizny, Trudy Matem. in-ta im. V. A. Steklova, 90, 1967 | MR | Zbl

[2] Bowen R., Periodic points, measures and axiom A, preprint, University of California, Berkeley; Mathematics Institute, University of Warwick, Coventry, 1969

[3] Adler R.L., Konheim A.G. and McAndrew M.H., “Topological entropy”, Trans. Amer. Math. Soc., 114, 1965, 309–319 | DOI | MR | Zbl

[4] Dinaburg E.I., “Sootnoshenie mezhdu topologicheskoi entropiei i metricheskoi entropiei”, DAN SSSR, 190:1 (1970), 19–22 | MR | Zbl

[5] Gurevich B.M., “Topologicheskaya entropiya schetnoi tsepi Markova”, DAN SSSR, 187:4 (1969), 11–14

[6] Sinai Ya.G., “Markovskie razbieniya i U-diffeomorfizmy”, Funkts. analiz, 2:1 (1968), 64–89 | MR | Zbl

[7] Gurevich B.M., “Entropiya sdviga i markovskie mery v prostranstve putei schetnogo grafa”, DAN SSSR, 192:5 (1970), 963–965 | Zbl

[8] Gurevich B.M., Sinai Ya.G., “Algebraicheskie avtomorfizmy tora i tsepi Markova”, dopolnenie k russkomu perevodu knigi P. Billingslei, Ergodicheskaya teoriya i informatsiya, Mir, M., 1969 | MR

[9] Sinai Ya.G., “Postroenie markovskikh razbienii”, Funkts. analiz, 2:3 (1968), 70–80 | MR | Zbl

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

[11] Krzyžewski K., “Note on topological entroipy”, Bull. Akad. Polon. sci., 16:6 (1968), 465–467 | MR | Zbl

[12] Margulis G.A., “O nekotorykh merakh, svyazannykh s U-potokami”, Funkts. analiz, 4:1 (1970), 62–76 | MR | Zbl