@article{PMIHES_1984__59__163_0, author = {Ledrappier, Fran\c cois}, title = {Propri\'et\'es ergodiques des mesures de Sina\"\i }, journal = {Publications Math\'ematiques de l'IH\'ES}, volume = {60}, year = {1984}, pages = {163-188}, mrnumber = {86f:58092}, zbl = {0561.58037}, language = {fr}, url = {http://dml.mathdoc.fr/item/PMIHES_1984__59__163_0} }
Ledrappier, François. Propriétés ergodiques des mesures de Sinaï. Publications Mathématiques de l'IHÉS, Tome 60 (1984) pp. 163-188. http://gdmltest.u-ga.fr/item/PMIHES_1984__59__163_0/
[1] Equilibrium states and the ergodic theory of Anosov diffeomorphisms, Lect. Notes in Math., 470. Springer Verlag (1975). | MR 56 #1364 | Zbl 0308.28010
,[2] A definition of Gibbs state for a compact set with Zv action, Commun. Math. Phys., 48 (1976), 85-88. | MR 54 #3755
,[3] A proof of Pesin's stable manifold theorem, in Geometric Dynamics, Lect. Notes in Math., 1007, Springer Verlag (1983), 177-215. | MR 85j:58122 | Zbl 0532.58012
, , ,[4] Invariant manifolds for smooth maps with singularities, part II : Absolute continuity, prépublication (1981).
, ,[5] On the entropy per time unit as a metric invariant of automorphisms, Dokl. Akad. Nauk SSSR, 124 (1959), 754-755. | MR 21 #2035b | Zbl 0086.10101
,[6] Sur la condition de Bernoulli faible et ses applications, in Théorie ergodique, Rennes 73/74, Lect. Notes in Math., 532, Springer Verlag (1976), 152-159. | MR 58 #22482 | Zbl 0394.28011
,[7] Propriétés ergodiques des mesures de Sinaï, C. r. Acad. Sci. Paris, 294 (1982), 593-595. | MR 83g:58035 | Zbl 0513.58030
,[8] A proof of the estimation from below in Pesin entropy formula, Ergod. Th. and Dynam. Syst., 2 (1982), 203-219. | MR 85f:58070 | Zbl 0533.58022
, ,[9] A proof of Pesin's formula, Ergod. Th. and Dynam. Syst., 1 (1981), 95-102. | MR 83b:58042 | Zbl 0489.58018
,[10] Ergodic Theory, Randomness and Dynamical Systems, Yale University Press (1974). | MR 56 #5836 | Zbl 0296.28016
,[11] The multiplicative ergodic theorem. The Lyapunov characteristic numbers of dynamical systems, Trans. Mosc. Soc., 19 (1968), 197-231. | MR 39 #1629 | Zbl 0236.93034
,[12] Characteristic Lyapunov exponents and smooth ergodic theory, Russian Math. Surveys, 32:4 (1977), 55-114. | Zbl 0383.58011
,[13] Families of invariant manifolds corresponding to non-zero characteristic exponents, Math. of the USSR Izvestija, 10 (1978), 1261-1305. | Zbl 0383.58012
,[14] Anosov flows are also Bernoullian, Israël J. Math., 17 (1974), 380-391. | MR 51 #10587 | Zbl 0304.28011
,[15] Thermodynamic formalism, Addison-Wesley (1978). | MR 80g:82017 | Zbl 0401.28016
,[16] An inequality for the entropy of differentiable maps, Bol. Soc. Bras. Math., 9 (1978), 83-87. | MR 80f:58026 | Zbl 0432.58013
,[17] Sensitive dependence on initial conditions and turbulent behavior of dynamical systems, Ann. New York Acad. Sci., 316 (1979), 408-416. | MR 82b:58048 | Zbl 0438.58003
,[18] Ergodic theory of differentiable dynamical systems, Publ. Math. IHES, 50 (1979), 27-58. | Numdam | MR 81f:58031 | Zbl 0426.58014
,[19] On the fundamental ideas of measure theory, Amer. Math. Soc. Transl. (1), 10 (1962), 1-54.
,[20] Lectures on the theory of entropy of transformations with invariant measures, Russ. Math. Surveys, 22:5 (1967), 1-52. | MR 36 #349 | Zbl 0174.45501
,[21] The Poincaré flow of a Foliation, Amer. J. Math., 102 (1980), 93-128. | MR 82f:58072 | Zbl 0434.28017
,[22] Gibbs measures in ergodic theory, Russ. Math. Surveys, 27:4 (1972), 21-69. | MR 53 #3265 | Zbl 0255.28016
,[23] Dimension, entropy and Lyapunov Exponents, Ergod. Th. and Dynam. Syst., 2 (1982), 109-124. | MR 84h:58087 | Zbl 0523.58024
,