@article{PMIHES_1984__59__143_0, author = {Pugh, Charles C.}, title = {The $C^{1}+\alpha $ hypothesis in {Pesin} theory}, journal = {Publications Math\'ematiques de l'IH\'ES}, pages = {143--161}, publisher = {Institut des Hautes \'Etudes Scientifiques}, volume = {59}, year = {1984}, mrnumber = {743817}, zbl = {0542.58027}, language = {en}, url = {http://archive.numdam.org/item/PMIHES_1984__59__143_0/} }
TY - JOUR AU - Pugh, Charles C. TI - The $C^{1}+\alpha $ hypothesis in Pesin theory JO - Publications Mathématiques de l'IHÉS PY - 1984 SP - 143 EP - 161 VL - 59 PB - Institut des Hautes Études Scientifiques UR - http://archive.numdam.org/item/PMIHES_1984__59__143_0/ LA - en ID - PMIHES_1984__59__143_0 ER -
Pugh, Charles C. The $C^{1}+\alpha $ hypothesis in Pesin theory. Publications Mathématiques de l'IHÉS, Tome 59 (1984), pp. 143-161. http://archive.numdam.org/item/PMIHES_1984__59__143_0/
[1] A proof of Pesin's Stable Manifold Theorem, preprint of Université de Paris-Sud, Orsay, France. | Zbl
, and ,[2] Generic Properties of Polynomial Vector Fields at Infinity, Trans. AMS, 143 (1969), 201-222. | MR | Zbl
,[3] Invariant Manifolds, Springer Lecture Notes, 583, 1977. | MR | Zbl
, and ,[4] Lyapunov Exponents, Entropy and Periodic Orbits for Diffeomorphisms, Publ. Math. IHES, 51 (1980), 137-173. | Numdam | MR | Zbl
,[5] Introducão à Teoria Ergódica, IMPA, 1979.
,[6] Multiplicative Ergodic Theorem, Lyapunov Characteristic Exponents for Dynamical Systems, Trans. Moscow Math. Soc., 19 (1968), 197-231. | MR | Zbl
,[7] Families of Invariant Manifolds Corresponding to Nonzero Characteristic Exponents, Math. USSR Izvestija, 10 (1976), 1261-1305. | Zbl
,[8] Characteristic Lyapunov Exponents and Smooth Ergodic Theory, Russian Math. Surveys, 32 (1977), 4, 55-114. | Zbl
,[9] Ergodic Theory of Differentiable Dynamical Systems, Publ. Math. IHES, 50 (1979), 27-58. | Numdam | MR | Zbl
,[10] Local Cn Transformations of the Real Line, Duke Mathematical Journal, 24 (1957), 97-102. | MR | Zbl
,