Ergodicity and rigidity for certain subgroups of Diff ω ( S 1 )

Julio C. Rebelo

Annales scientifiques de l'École Normale Supérieure (1999)

  • Volume: 32, Issue: 4, page 433-453
  • ISSN: 0012-9593

How to cite


Rebelo, Julio C.. "Ergodicity and rigidity for certain subgroups of ${\rm Diff}^\omega (S^1)$." Annales scientifiques de l'École Normale Supérieure 32.4 (1999): 433-453. <>.

author = {Rebelo, Julio C.},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {real analytic diffeomorphisms; ergodic actions; topological rigidity},
language = {eng},
number = {4},
pages = {433-453},
publisher = {Elsevier},
title = {Ergodicity and rigidity for certain subgroups of $\{\rm Diff\}^\omega (S^1)$},
url = {},
volume = {32},
year = {1999},

AU - Rebelo, Julio C.
TI - Ergodicity and rigidity for certain subgroups of ${\rm Diff}^\omega (S^1)$
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1999
PB - Elsevier
VL - 32
IS - 4
SP - 433
EP - 453
LA - eng
KW - real analytic diffeomorphisms; ergodic actions; topological rigidity
UR -
ER -


  1. [Bo] C. BONATTI, Feuilletages Proches d'une Fibration, Ensaios Matematicos, Soc. Bras. Mat., 1993. 
  2. [B-H] R. BOTT and A. HAEFLIGER, On characteristic classes of Γ-foliations, Bull. AMS, 78, N 6, 1972, pp. 1039-1044. Zbl0262.57010MR46 #6370
  3. [Ca] C. CAMACHO, On the local structure of conformal mappings and holomorphic vector fields, Astérisque, 59-60, 1978, pp. 83-94. Zbl0415.30015MR81d:58016
  4. [Ca] C. CARATHEODORY, Theory of Functions of a complex variable, Vol II, Chelsea, 1954. Zbl0056.06703
  5. [E-T] Y. ELIASHBERG and W. THURSTON, Confoliations, University Lecture Series, Vol 13, 1998. Zbl0893.53001MR98m:53042
  6. [Gh-1] E. GHYS, Sur les Groupes Engendrés par des Difféomorphismes Proches de l'Identité, Bol. Soc. Bras. Mat., 24, No. 2, 1993, pp. 137-178. Zbl0809.58004MR95f:58017
  7. [Gh-2] E. GHYS, Rigidité Différentiable des Groupes Fuchsiens, Publ. Math. I.H.E.S., 78, 1993, pp. 163-185. Zbl0812.58066MR95d:57009
  8. [H-H] G. HECTOR and U. HIRSCH, Introduction to the geometry of foliations, part B, Braunschweig, Friedr. Vieweg, 1987. Zbl0704.57001MR92f:57037
  9. [Ka] I. KAPLANSKY, Lie algebras and locally compact groups, Chicago Lectures in Mathematics (The Chicago University Press), 1971. Zbl0223.17001MR43 #2145
  10. [Na-1] I. NAKAI, Separatrix for Non Solvable Dynamics on C, 0, Ann. Inst. Fourier, 44, 2, 1994, pp. 569-599. Zbl0804.57022MR95j:58124
  11. [Na-2] I. NAKAI, A rigidity theorem for transverse dynamics of real analytic foliations of codimension one, (Complex Analytic Methods in Dynamical Systems), Astérisque, 222, 1994, pp. 327-343. Zbl0831.57017MR95f:58061
  12. [Sch] A.A. SCHERBAKOV, On the density of an orbit of a pseudogroup of conformal mappings and a generalization of the Hudai-Verenov theorem, Vestnik Movskovskogo Universiteta Mathematika, 31, 4, 1982, pp. 10-15. Zbl0517.30009
  13. [Su] D. SULLIVAN, The density at infinity of a discrete group of hyperbolic motions, Publ. Math. I.H.E.S., 50, 1979, pp. 171-202. Zbl0439.30034MR81b:58031

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