The C 1 + α hypothesis in Pesin theory

Charles C. Pugh

Publications Mathématiques de l'IHÉS (1984)

  • Volume: 59, page 143-161
  • ISSN: 0073-8301

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Pugh, Charles C.. "The $C^{1}+\alpha $ hypothesis in Pesin theory." Publications Mathématiques de l'IHÉS 59 (1984): 143-161. <http://eudml.org/doc/103997>.

@article{Pugh1984,
author = {Pugh, Charles C.},
journal = {Publications Mathématiques de l'IHÉS},
keywords = {stable manifold; diffeomorphism},
language = {eng},
pages = {143-161},
publisher = {Institut des Hautes Études Scientifiques},
title = {The $C^\{1\}+\alpha $ hypothesis in Pesin theory},
url = {http://eudml.org/doc/103997},
volume = {59},
year = {1984},
}

TY - JOUR
AU - Pugh, Charles C.
TI - The $C^{1}+\alpha $ hypothesis in Pesin theory
JO - Publications Mathématiques de l'IHÉS
PY - 1984
PB - Institut des Hautes Études Scientifiques
VL - 59
SP - 143
EP - 161
LA - eng
KW - stable manifold; diffeomorphism
UR - http://eudml.org/doc/103997
ER -

References

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  1. [1] A. FATHI, M. HERMAN and J. C. YOCCOZ, A proof of Pesin's Stable Manifold Theorem, preprint of Université de Paris-Sud, Orsay, France. Zbl0532.58012
  2. [2] E. A. GONZALES VELASCO, Generic Properties of Polynomial Vector Fields at Infinity, Trans. AMS, 143 (1969), 201-222. Zbl0187.34401MR40 #6005
  3. [3] M. HIRSCH, C. PUGH and M. SHUB, Invariant Manifolds, Springer Lecture Notes, 583, 1977. Zbl0355.58009MR58 #18595
  4. [4] A. KATOK, Lyapunov Exponents, Entropy and Periodic Orbits for Diffeomorphisms, Publ. Math. IHES, 51 (1980), 137-173. Zbl0445.58015MR81i:28022
  5. [5] R. Mañé RAMIREZ, Introducão à Teoria Ergódica, IMPA, 1979. 
  6. [6] V. I. OSELEDEC, Multiplicative Ergodic Theorem, Lyapunov Characteristic Exponents for Dynamical Systems, Trans. Moscow Math. Soc., 19 (1968), 197-231. Zbl0236.93034MR39 #1629
  7. [7] Y. B. PESIN, Families of Invariant Manifolds Corresponding to Nonzero Characteristic Exponents, Math. USSR Izvestija, 10 (1976), 1261-1305. Zbl0383.58012
  8. [8] Y. B. PESIN, Characteristic Lyapunov Exponents and Smooth Ergodic Theory, Russian Math. Surveys, 32 (1977), 4, 55-114. Zbl0383.58011
  9. [9] D. RUELLE, Ergodic Theory of Differentiable Dynamical Systems, Publ. Math. IHES, 50 (1979), 27-58. Zbl0426.58014MR81f:58031
  10. [10] S. STERNBERG, Local Cn Transformations of the Real Line, Duke Mathematical Journal, 24 (1957), 97-102. Zbl0077.06201MR21 #1371

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