@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}, pages = {51--77}, publisher = {Soci\'et\'e math\'ematique de France}, volume = {126}, number = {1}, year = {1998}, doi = {10.24033/bsmf.2320}, mrnumber = {99g:58072}, zbl = {0917.58018}, language = {fr}, url = {http://archive.numdam.org/articles/10.24033/bsmf.2320/} }
TY - JOUR AU - Buzzi, Jérôme TI - Ergodicité intrinsèque de produits fibrés d'applications chaotiques unidimensionnelles JO - Bulletin de la Société Mathématique de France PY - 1998 SP - 51 EP - 77 VL - 126 IS - 1 PB - Société mathématique de France UR - http://archive.numdam.org/articles/10.24033/bsmf.2320/ DO - 10.24033/bsmf.2320 LA - fr ID - BSMF_1998__126_1_51_0 ER -
%0 Journal Article %A Buzzi, Jérôme %T Ergodicité intrinsèque de produits fibrés d'applications chaotiques unidimensionnelles %J Bulletin de la Société Mathématique de France %D 1998 %P 51-77 %V 126 %N 1 %I Société mathématique de France %U http://archive.numdam.org/articles/10.24033/bsmf.2320/ %R 10.24033/bsmf.2320 %G fr %F 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) no. 1, pp. 51-77. doi : 10.24033/bsmf.2320. http://archive.numdam.org/articles/10.24033/bsmf.2320/
[1] Entropy for group endomorphisms and homogeneous spaces, Trans. Amer. Math. Soc., t. 153, 1971, p. 401-414. | MR | Zbl
. -[2] Entropies et représentation markovienne des applications régulières de l'intervalle. - Thèse, Université Paris-Sud, Orsay, 1995.
. -[3] Intrinsic Ergodicity of Smooth Interval Maps, Israel J. Math., t. 100, 1997, p. 125-161. | MR | Zbl
. -[4] Intrinsic Ergodicity of Affine Maps on [0, 1]d, Monat. Math., t. 124, 1997, p. 97-118. | MR | Zbl
. -[5] Entropy, volume growth and Lyapunov exponents, submitted.
. -[6] Markov extensions for multi-dimensional dynamical systems, submitted.
. -[7] Ensembles semi-algébriques, Lecture Notes in Mathematics, n° 959, Springer-Verlag, Berlin, 1982, p. 109-138. | MR | Zbl
. -[8] Ergodic theory on compact spaces, Lecture Notes in Mathematics n° 527, Springer-Verlag, 1976. | MR | Zbl
, , . -[9] Entropy, homology and semi-algebraic geometry, Séminaire Bourbaki, t. 663, 1985-1986. | Numdam | Zbl
. -[10] Topological entropy of enumerable Markov chains, Soviet Math. Dokl., t. 10, 1969, p. 911-915. | Zbl
. -[11] Shift entropy and Markov measures in the path space of a denumerable graph, Soviet Math. Dokl., t. 11, 1970, p. 744-747. | Zbl
. -[12] Invariant Manifolds, Lecture Notes in Mathematics n° 583, Springer-Verlag, Berlin, 1977. | MR | Zbl
, , . -[13] 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
. -[14] Lyapunov exponents, entropy and periodic orbits for diffeomorphisms, Publ. Math. I.H.E.S., t. 51, 1980, p. 137-173. | Numdam | MR | Zbl
. -[15] Markov extensions, zeta functions, and Fredholm theory for piecewise invertible dynamical systems, Trans. Amer. Math. Soc, t. 314, 1989, p. 433-497. | MR | Zbl
. -[16] Lifting measures to Markov extensions, Mh. Math., t. 108, 1989, p. 183-200. | MR | Zbl
. -[17] A relativised variational principle for continuous transformations, J. London Math. Soc., t. 16, 1977, p. 568-576. | MR | Zbl
, . -[18] Horseshoes for mappings of the interval, Bull. Acad. Polon. Sci., Ser. Sci. Math., t. 27, 1979, p. 167-169. | MR | Zbl
. -[19] Entropy of piecewise monotone mappings, Studia Math., t. 67, p. 45-63. | MR | Zbl
, . -[20] Continuity properties of the entropy, Ann. Math., t. 129, 1989, p. 215-237. | MR | Zbl
. -[21] Intrinsically ergodic systems, Bull. Amer. Math. Soc., t. 76, 1970, p. 1266-1269. | MR | Zbl
. -[22] Volume growth and entropy, Israel J. Math., t. 57, 1987, p. 285-300. | MR | Zbl
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