Rigidity of centralizers of diffeomorphisms
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 22 (1989) no. 1, pp. 81-98.
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     title = {Rigidity of centralizers of diffeomorphisms},
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Palis, J.; Yoccoz, J.-C. Rigidity of centralizers of diffeomorphisms. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 22 (1989) no. 1, pp. 81-98. doi : 10.24033/asens.1576. https://www.numdam.org/articles/10.24033/asens.1576/

[1] B. Anderson, Diffeomorphisms with Discrete Centralizer (Topology, Vol. 15, 1976, pp. 143-147). | MR | Zbl

[2] V. Arnold, Chapitres supplémentaires de la théorie des équations différentielles ordinaires, Ed. Mir, 1980. | MR | Zbl

[3] M. Herman, Sur la conjugation différentiable des difféomorphismes du cercle à des rotations (Publications Math., Vol. 49, 1979, pp. 5-234). | Numdam | MR | Zbl

[4] N. Kopell, Commuting Diffeomorphisms, Global Analysis (Am. Math. Soc. Proc. Symp. Pure Math., Vol. 14, 1970, pp. 165-184). | MR | Zbl

[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). | Numdam | MR | Zbl

[6] S. Newhouse, Lectures on Dynamical Systems, Dyn. Syst. C.I.M.E., Birkhöuser, 1980. | Zbl

[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)]. | MR | Zbl

[8] J. Palis and W. De Melo, Geometric Theory of Dynamical Systems, Springer-Verlag, 1982. | MR | Zbl

[9] J. Palis and J. C. Yoccoz, Centralizers of Anosov Diffeomorphisms on Tori (Ann. Sc. de l'E.N.S., this volume). | Numdam | Zbl

[10] J. Palis and J. C. Yoccoz, Differentiable Conjugacies of Morse-Smale Diffeomorphisms (to appear).

[11] J. Robbin, A Structural Stability Theorem (Annals of Math., Vol. 94, 1971, pp. 447-493). | MR | Zbl

[12] C. Robinson, Structural Stability of C1 Diffeomorphisms (J. Diff. Equations, Vol. 22, 1976, pp. 28-73). | MR | Zbl

[13] P. Sad, Centralizers of Vector Fields (Topology, Vol. 18, 1979, pp. 97-104). | MR | Zbl

[14] M. Shub, Global Stability of Dynamical Systems, Springer-Verlag, 1987. | MR | Zbl

[15] S. Smale, Differentiable Dynamical Systems (Bull. Am. Math. Soc., Vol. 73, 1976, pp. 747-817). | MR | Zbl

[16] S. Smale, The Ω-Stability Theorem, Global Analysis (Am. Math. Soc. Proc. Symp. Pure Math., Vol. 14, 1970, pp. 289-297). | MR | Zbl

[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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  • Bonomo, Wescley; Rocha, Jorge; Varandas, Paulo Symmetries of Cr-vector Fields on Surfaces, Bulletin of the Brazilian Mathematical Society, New Series, Volume 54 (2023) no. 3 | DOI:10.1007/s00574-023-00361-9
  • Spatzier, Ralf; Vinhage, Kurt Cartan actions of higher rank abelian groups and their classification, Journal of the American Mathematical Society, Volume 37 (2023) no. 3, p. 731 | DOI:10.1090/jams/1033
  • GAN, SHAOBO; SHI, YI; XU, DISHENG; ZHANG, JINHUA Centralizers of derived-from-Anosov systems on : rigidity versus triviality, Ergodic Theory and Dynamical Systems, Volume 42 (2022) no. 9, p. 2841 | DOI:10.1017/etds.2021.63
  • Damjanović, Danijela; Wilkinson, Amie; Xu, Disheng Pathology and asymmetry: Centralizer rigidity for partially hyperbolic diffeomorphisms, Duke Mathematical Journal, Volume 170 (2021) no. 17 | DOI:10.1215/00127094-2021-0053
  • Bakker, Lennard; Fisher, Todd; Hasselblatt, Boris Centralizers of hyperbolic and kinematic-expansive flows, Mathematics Research Reports, Volume 2 (2021), p. 21 | DOI:10.5802/mrr.8
  • Leguil, Martin; Obata, Davi; Santiago, Bruno On the centralizer of vector fields: criteria of triviality and genericity results, Mathematische Zeitschrift, Volume 297 (2021) no. 1-2, p. 283 | DOI:10.1007/s00209-020-02511-x
  • Bonomo, Wescley; Varandas, Paulo A criterion for the triviality of the centralizer for vector fields and applications, Journal of Differential Equations, Volume 267 (2019) no. 3, p. 1748 | DOI:10.1016/j.jde.2019.02.022
  • Bonomo, Wescley; Rocha, Jorge; Varandas, Paulo The centralizer of Komuro-expansive flows and expansive Rd R d actions, Mathematische Zeitschrift, Volume 289 (2018) no. 3-4, p. 1059 | DOI:10.1007/s00209-017-1988-7
  • Rocha, Jorge; Varandas, Paulo On sensitivity to initial conditions and uniqueness of conjugacies for structurally stable diffeomorphisms, Nonlinearity, Volume 31 (2018) no. 1, p. 293 | DOI:10.1088/1361-6544/aa8d78
  • Spatzier, Ralf On the work of Rodriguez Hertz on rigidity in dynamics, Journal of Modern Dynamics, Volume 10 (2016) no. 02, p. 191 | DOI:10.3934/jmd.2016.10.191
  • Bakker, Lennard; Fisher, Todd Open sets of diffeomorphisms with trivial centralizer in theC1topology, Nonlinearity, Volume 27 (2014) no. 12, p. 2869 | DOI:10.1088/0951-7715/27/12/2869
  • Cerveau, Dominique; Déserti, Julie Centralisateurs dans le groupe de jonquieres, Michigan Mathematical Journal, Volume 61 (2012) no. 4 | DOI:10.1307/mmj/1353098512
  • Zhukova, N. I. Compact leaves of structurally stable foliations, Proceedings of the Steklov Institute of Mathematics, Volume 278 (2012) no. 1, p. 94 | DOI:10.1134/s0081543812060107
  • Bonatti, Christian; Crovisier, Sylvain; Wilkinson, Amie The C 1 generic diffeomorphism has trivial centralizer, Publications mathématiques de l'IHÉS, Volume 109 (2009) no. 1, p. 185 | DOI:10.1007/s10240-009-0021-z
  • Cantat, Serge; Cerveau, Dominique Analytic actions of mapping class groups on surfaces, Journal of Topology, Volume 1 (2008) no. 4, p. 910 | DOI:10.1112/jtopol/jtn028
  • Fisher, Todd Trivial centralizers for axiom A diffeomorphisms, Nonlinearity, Volume 21 (2008) no. 11, p. 2505 | DOI:10.1088/0951-7715/21/11/002
  • FIEDLER, BERNOLD ROOTS AND CENTRALIZERS OF ANOSOV DIFFEOMORPHISMS ON TORI, International Journal of Bifurcation and Chaos, Volume 15 (2005) no. 11, p. 3691 | DOI:10.1142/s0218127405014325
  • Burslem, Lizzie Centralizers of area preserving diffeomorphisms on 𝑆², Proceedings of the American Mathematical Society, Volume 133 (2004) no. 4, p. 1101 | DOI:10.1090/s0002-9939-04-07675-0
  • Arteaga, Carlos Centralizers of Rational Functions, Complex Variables, Theory and Application: An International Journal, Volume 48 (2003) no. 1, p. 63 | DOI:10.1080/0278107021000087093
  • Smale, Steve Mathematical problems for the next century, The Mathematical Intelligencer, Volume 20 (1998) no. 2, p. 7 | DOI:10.1007/bf03025291
  • Qian, Nantian Tangential flatness and global rigidity of higher rank lattice actions, Transactions of the American Mathematical Society, Volume 349 (1997) no. 2, p. 657 | DOI:10.1090/s0002-9947-97-01857-6
  • Meirong, Zhang Centralizers and iterate radicals of morse-smale diffeomorphisms of the circle, Acta Mathematica Sinica, Volume 11 (1995) no. 1, p. 1 | DOI:10.1007/bf02274041
  • Arteaga, Carlos Centralizers of expanding maps on tori, Boletim da Sociedade Brasileira de Matem�tica, Volume 26 (1995) no. 2, p. 149 | DOI:10.1007/bf01236990
  • Rocha, Jorge Rigidity of centralizers of real analytic diffeomorphisms, Ergodic Theory and Dynamical Systems, Volume 13 (1993) no. 1, p. 175 | DOI:10.1017/s0143385700007288
  • Palis, J.; Yoccoz, J. C. Differentiable conjugacies of Morse-Smale diffeomorphisms, Boletim da Sociedade Brasileira de Matemática, Volume 20 (1990) no. 2, p. 25 | DOI:10.1007/bf02585432
  • Bazzani, Armando; Marmi, Stefano; Turchetti, Giorgio Nekhoroshev estimate for isochronous non resonant symplectic maps, Celestial Mechanics and Dynamical Astronomy, Volume 47 (1990) no. 4, p. 333 | DOI:10.1007/bf00051010
  • Turchetti, G. Nekhoroshev Stability Estimates for Symplectic Maps and Physical Applications, Number Theory and Physics, Volume 47 (1990), p. 223 | DOI:10.1007/978-3-642-75405-0_24

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