Ergodicité intrinsèque de produits fibrés d'applications chaotiques unidimensionnelles
Buzzi, Jérôme
Bulletin de la Société Mathématique de France, Tome 126 (1998), p. 51-77 / Harvested from Numdam
Access to full text
Full (PDF)
Full (DJVU) 
@article{BSMF_1998__126_1_51_0,
     author = {Buzzi, J\'er\^ome},
     title = {Ergodicit\'e intrins\`eque de produits fibr\'es d'applications chaotiques unidimensionnelles},
     journal = {Bulletin de la Soci\'et\'e Math\'ematique de France},
     volume = {126},
     year = {1998},
     pages = {51-77},
     doi = {10.24033/bsmf.2320},
     mrnumber = {99g:58072},
     zbl = {0917.58018},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/BSMF_1998__126_1_51_0}
}

Buzzi, Jérôme. Ergodicité intrinsèque de produits fibrés d'applications chaotiques unidimensionnelles. Bulletin de la Société Mathématique de France, Tome 126 (1998) pp. 51-77. doi : 10.24033/bsmf.2320. http://gdmltest.u-ga.fr/item/BSMF_1998__126_1_51_0/

[1] Bowen (R.). - Entropy for group endomorphisms and homogeneous spaces, Trans. Amer. Math. Soc., t. 153, 1971, p. 401-414. | MR 43 #469 | Zbl 0212.29201

[2] Buzzi (J.). - Entropies et représentation markovienne des applications régulières de l'intervalle. - Thèse, Université Paris-Sud, Orsay, 1995.

[3] Buzzi (J.). - Intrinsic Ergodicity of Smooth Interval Maps, Israel J. Math., t. 100, 1997, p. 125-161. | MR 99g:58071 | Zbl 0889.28009

[4] Buzzi (J.). - Intrinsic Ergodicity of Affine Maps on [0, 1]d, Monat. Math., t. 124, 1997, p. 97-118. | MR 98g:58098 | Zbl 0886.58024

[5] Buzzi (J.). - Entropy, volume growth and Lyapunov exponents, submitted.

[6] Buzzi (J.). - Markov extensions for multi-dimensional dynamical systems, submitted.

[7] Coste (M.). - Ensembles semi-algébriques, Lecture Notes in Mathematics, n° 959, Springer-Verlag, Berlin, 1982, p. 109-138. | MR 84e:14023 | Zbl 0498.14012

[8] Denker (M.), Grillenberg (C.), Sigmund (K.). - Ergodic theory on compact spaces, Lecture Notes in Mathematics n° 527, Springer-Verlag, 1976. | MR 56 #15879 | Zbl 0328.28008

[9] Gromov (M.). - Entropy, homology and semi-algebraic geometry, Séminaire Bourbaki, t. 663, 1985-1986. | Numdam | Zbl 0611.58041

[10] Gurevič (B.M.). - Topological entropy of enumerable Markov chains, Soviet Math. Dokl., t. 10, 1969, p. 911-915. | Zbl 0194.49602

[11] Gurevič (B.M.). - Shift entropy and Markov measures in the path space of a denumerable graph, Soviet Math. Dokl., t. 11, 1970, p. 744-747. | Zbl 0217.38101

[12] Hirsch (M.W.), Pugh (C.C.), Shub (M.). - Invariant Manifolds, Lecture Notes in Mathematics n° 583, Springer-Verlag, Berlin, 1977. | MR 58 #18595 | Zbl 0355.58009

[13] Hofbauer (F.). - On intrinsic ergodicity of piecewise monotonic transformations with positive entropy, Israel J. Math., t. I, 34, 1979, p. 213-237; t. II, 38, 1981, p. 107-115. | Zbl 0422.28015

[14] Katok (A.). - Lyapunov exponents, entropy and periodic orbits for diffeomorphisms, Publ. Math. I.H.E.S., t. 51, 1980, p. 137-173. | Numdam | MR 81i:28022 | Zbl 0445.58015

[15] Keller (G.). - Markov extensions, zeta functions, and Fredholm theory for piecewise invertible dynamical systems, Trans. Amer. Math. Soc, t. 314, 1989, p. 433-497. | MR 91c:58062 | Zbl 0686.58027

[16] Keller (G.). - Lifting measures to Markov extensions, Mh. Math., t. 108, 1989, p. 183-200. | MR 91b:28011 | Zbl 0712.28008

[17] Ledrappier (F.), Walters (P.). - A relativised variational principle for continuous transformations, J. London Math. Soc., t. 16, 1977, p. 568-576. | MR 57 #16540 | Zbl 0388.28020

[18] Misiurewicz (M.). - Horseshoes for mappings of the interval, Bull. Acad. Polon. Sci., Ser. Sci. Math., t. 27, 1979, p. 167-169. | MR 81b:58033 | Zbl 0459.54031

[19] Misiurewicz (M.), Szlenk (W.). - Entropy of piecewise monotone mappings, Studia Math., t. 67, p. 45-63. | MR 82a:58030 | Zbl 0445.54007

[20] Newhouse (S.E.). - Continuity properties of the entropy, Ann. Math., t. 129, 1989, p. 215-237. | MR 90f:58108 | Zbl 0676.58039

[21] Weiss (B.). - Intrinsically ergodic systems, Bull. Amer. Math. Soc., t. 76, 1970, p. 1266-1269. | MR 42 #1978 | Zbl 0218.28011

[22] Yomdin (Y.). - Volume growth and entropy, Israel J. Math., t. 57, 1987, p. 285-300. | MR 90g:58008 | Zbl 0641.54036