Rigidity of centralizers of diffeomorphisms

J. Palis; J.-C. Yoccoz

Annales scientifiques de l'École Normale Supérieure (1989)

  • Volume: 22, Issue: 1, page 81-98
  • ISSN: 0012-9593

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Palis, J., and Yoccoz, J.-C.. "Rigidity of centralizers of diffeomorphisms." Annales scientifiques de l'École Normale Supérieure 22.1 (1989): 81-98. <http://eudml.org/doc/82248>.

@article{Palis1989,
author = {Palis, J., Yoccoz, J.-C.},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {smooth diffeomorphisms; trivial centralizers},
language = {eng},
number = {1},
pages = {81-98},
publisher = {Elsevier},
title = {Rigidity of centralizers of diffeomorphisms},
url = {http://eudml.org/doc/82248},
volume = {22},
year = {1989},
}

TY - JOUR
AU - Palis, J.
AU - Yoccoz, J.-C.
TI - Rigidity of centralizers of diffeomorphisms
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1989
PB - Elsevier
VL - 22
IS - 1
SP - 81
EP - 98
LA - eng
KW - smooth diffeomorphisms; trivial centralizers
UR - http://eudml.org/doc/82248
ER -

References

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  1. [1] B. ANDERSON, Diffeomorphisms with Discrete Centralizer (Topology, Vol. 15, 1976, pp. 143-147). Zbl0338.58005MR53 #6635
  2. [2] V. ARNOLD, Chapitres supplémentaires de la théorie des équations différentielles ordinaires, Ed. Mir, 1980. Zbl0455.34001MR83a:34003
  3. [3] M. HERMAN, Sur la conjugation différentiable des difféomorphismes du cercle à des rotations (Publications Math., Vol. 49, 1979, pp. 5-234). Zbl0448.58019MR81h:58039
  4. [4] N. KOPELL, Commuting Diffeomorphisms, Global Analysis (Am. Math. Soc. Proc. Symp. Pure Math., Vol. 14, 1970, pp. 165-184). Zbl0225.57020MR42 #5285
  5. [5] S. NEWHOUSE, J. PALIS and F. TAKENS, Bifurcations and Stability of Families of Diffeomorphisms (Publications Math. I.H.E.S., Vol. 53, 1983, pp. 5-72). Zbl0518.58031MR84g:58080
  6. [6] S. NEWHOUSE, Lectures on Dynamical Systems, Dyn. Syst. C.I.M.E., Birkhöuser, 1980. Zbl0444.58001
  7. [7] J. PALIS, Rigidity of Centralizers of Diffeomorphisms and Structural Stability of Suspended Foliations [Proc. Symp. PUC-Rio de Janeiro (Lectures Notes in Math., No. 652, Springer-Verlag, 1978, pp. 114-121)]. Zbl0382.57013MR80b:58040
  8. [8] J. PALIS and W. DE MELO, Geometric Theory of Dynamical Systems, Springer-Verlag, 1982. Zbl0491.58001MR84a:58004
  9. [9] J. PALIS and J. C. YOCCOZ, Centralizers of Anosov Diffeomorphisms on Tori (Ann. Sc. de l'E.N.S., this volume). Zbl0675.58029
  10. [10] J. PALIS and J. C. YOCCOZ, Differentiable Conjugacies of Morse-Smale Diffeomorphisms (to appear). Zbl0726.58027
  11. [11] J. ROBBIN, A Structural Stability Theorem (Annals of Math., Vol. 94, 1971, pp. 447-493). Zbl0224.58005MR44 #4783
  12. [12] C. ROBINSON, Structural Stability of C1 Diffeomorphisms (J. Diff. Equations, Vol. 22, 1976, pp. 28-73). Zbl0343.58009MR57 #14051
  13. [13] P. SAD, Centralizers of Vector Fields (Topology, Vol. 18, 1979, pp. 97-104). Zbl0415.58016MR81c:58053
  14. [14] M. SHUB, Global Stability of Dynamical Systems, Springer-Verlag, 1987. Zbl0606.58003MR87m:58086
  15. [15] S. SMALE, Differentiable Dynamical Systems (Bull. Am. Math. Soc., Vol. 73, 1976, pp. 747-817). Zbl0202.55202MR37 #3598
  16. [16] S. SMALE, The Ω-Stability Theorem, Global Analysis (Am. Math. Soc. Proc. Symp. Pure Math., Vol. 14, 1970, pp. 289-297). Zbl0205.54104MR42 #6852
  17. [17] J. C. YOCCOZ, Centralisateurs et conjugaison différentiable des difféomorphismes du cercle (Thèses Doctorat d'État, Univ. de Paris Sud, 1985 and Astérisque (to appear). 

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