@article{SM_1995_82_1_a6,
author = {A. Yu. Zhirov},
title = {Hyperbolic attractors of diffeomorphisms of orientable surfaces},
journal = {Sbornik. Mathematics},
pages = {135--174},
year = {1995},
volume = {82},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1995_82_1_a6/}
}
A. Yu. Zhirov. Hyperbolic attractors of diffeomorphisms of orientable surfaces. Sbornik. Mathematics, Tome 82 (1995) no. 1, pp. 135-174. http://geodesic.mathdoc.fr/item/SM_1995_82_1_a6/
[1] Aranson S. Kh., Grines V. Z., “Topologicheskaya klassifikatsiya kaskadov na zamknutykh dvumernykh mnogoobraziyakh”, UMN, 45:1 (1990), 3–32 | MR | Zbl
[2] Aranson S. Kh., Grines V. Z., “Kaskady na poverkhnostyakh”, Dinamicheskie sistemy–9, Itogi nauki i tekhn. Sovr. probl. matem., VINITI, 1991, 148–187
[3] Gantmakher F. R., Teoriya matrits, Nauka, M., 1988 | MR | Zbl
[4] Grines V. Z., “O topologicheskoi sopryazhennosti diffeomorfizmov dvumernogo mnogoobraziya na odnomernykh bazisnykh mnozhestvakh. 1; 2”, Tr. MMO, 32, URSS, M., 1975, 35–61 ; 34, 1977, 243–252 | MR | MR | Zbl
[5] Grines V. Z., Kalai Kh. Kh., “O topologicheskoi ekvivalentnosti diffeomorfizmov s netrivialnymi bazisnymi mnozhestvami na dvumernykh mnogoobraziyakh”, Metody kachestv. teorii i teorii bifurkatsii, Gorkii, 1988, 40–49 | MR
[6] Zhirov A. Yu., “O klassifikatsii odnomernykh giperbolicheskikh attraktorov diffeomorfizmov dvumernoi sfery”, IV Tiraspolskii simp. po obschei topologii i ee prilozh., 1977, 37–39
[7] Zhirov A. Yu., “Perechislenie giperbolicheskikh attraktorov na orientiruemykh poverkhnostyakh i primeneniya k psevdoanosovskim gomeomorfizmam”, DAN, 330:6 (1993), 683–686 | MR | Zbl
[8] Zhirov A. Yu., Kamaev D. A., Plykin R. V., “Odnomernye ploskie solenoidy i nekotorye ikh prilozheniya”, DAN SSSR, 232:4 (1977), 756–759 | MR | Zbl
[9] Kalai Kh. Kh., “Topologicheskaya ekvivalentnost $A$-diffeomorfizmov dvumernykh mnogoobrazii na kanonicheskikh mnozhestvakh”, Metody kachestv. teorii i teorii bifurkatsii, Gorkii, 1989, 50–61 | MR | Zbl
[10] Markus M., Mink Kh., Obzor po teorii matrits i matrichnykh neravenstv, Nauka, M., 1972 | MR
[11] Martin N., Inglend Dzh., Matematicheskaya teoriya entropii, Mir, M., 1988 | MR
[12] Nitetski Z., Vvedenie v differentsialnuyu dinamiku, Mir, M., 1975 | MR | Zbl
[13] Palis Zh., di Melu V., Geometricheskaya teoriya dinamicheskikh sistem, Mir, M., 1986 | MR
[14] Plykin R. V., “Istochniki i stoki $A$-diffeomorfizmov poverkhnostei”, Matem. sb., 94:2 (1974), 243–264 | MR | Zbl
[15] Plykin R. V., “O giperbolicheskikh attraktorakh diffeomorfizmov”, UMN, 35:3 (1980), 94–104 | MR | Zbl
[16] Plykin R. V., “O geometrii giperbolicheskikh attraktorov gladkikh kaskadov”, UMN, 39:6 (1984), 75–113 | MR | Zbl
[17] Plykin R. V., Sataev E. A., Shlyachkov S. V., “Strannye attraktory”, Dinamicheskie sistemy–9, Itogi nauki i tekhn. Sovr. probl. matem., VINITI, 1991, 100–148
[18] Smeil S., “Differentsiruemye dinamicheskie sistemy”, UMN, 25:1 (1970), 113–185 | MR
[19] Fedotov A. G., “O solenoidakh Vilyamsa i ikh realizatsii v dvumernykh dinamicheskikh sistemakh”, DAN SSSR, 252:4 (1980), 801–804 | MR | Zbl
[20] Tsishang R., Fogt E., Koldevai Kh. D., Poverkhnosti i razryvnye gruppy, Nauka, M., 1988 | MR
[21] Arnoux P., Yoccoz J., “Construction de diffeomorphismes pseudo-Anosov”, C.R. Acad. Sci., Ser. 1, 292 (1981), 75–78 | MR | Zbl
[22] Arnoux P., Fathi A., “Un exemple de diffeomorphiesme pseudo-Anosov”, C.R. Acad. Sci., Ser. 1, 312 (1991), 241–244 | MR | Zbl
[23] Bauer M., “Examples of pseudo-Anosov homeomorphisms”, Trans. Amer. Math. Soc., 330:1 (1992), 333–359 | DOI | MR | Zbl
[24] Bauer M., “An upper bound for the least dilatation”, Trans. Amer. Math. Soc., 330:1 (1992), 361–370 | DOI | MR | Zbl
[25] Fathi A., Laudenbach F., Poenaru V., “Travaux de Thurston sur les surfaces”, Orsay seminaire, Asterisque, 1979, 66–67
[26] Penner R. C., “A construction of pseudo-Anosov homeomorphisms”, Trans. Amer. Math. Soc., 310:1 (1982), 179–197 | DOI | MR
[27] Robinson C., Williams R., “Classification of expanding attractors: an example”, Topology, 14:4 (1976), 321–323 | DOI | MR
[28] Williams R. F., “One-dimentional non-wandering sets”, Topology, 6:4 (1967), 473–487 | DOI | MR | Zbl
[29] Williams R. F., “Classification of one-dimensional attractors”, Glob. Anal., Proc. Symp. Pure Math., 14, 1970, 329–334 | MR | Zbl