Smooth models of Thurston's pseudo-Anosov maps

Marlies Gerber; Anatole Katok

Annales scientifiques de l'École Normale Supérieure (1982)

  • Volume: 15, Issue: 1, page 173-204
  • ISSN: 0012-9593

How to cite

top

Gerber, Marlies, and Katok, Anatole. "Smooth models of Thurston's pseudo-Anosov maps." Annales scientifiques de l'École Normale Supérieure 15.1 (1982): 173-204. <http://eudml.org/doc/82090>.

@article{Gerber1982,
author = {Gerber, Marlies, Katok, Anatole},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {hyperbolic dynamics; pseudo-Anosov homeomorphism; Lyapunov exponents; Markov partition},
language = {eng},
number = {1},
pages = {173-204},
publisher = {Elsevier},
title = {Smooth models of Thurston's pseudo-Anosov maps},
url = {http://eudml.org/doc/82090},
volume = {15},
year = {1982},
}

TY - JOUR
AU - Gerber, Marlies
AU - Katok, Anatole
TI - Smooth models of Thurston's pseudo-Anosov maps
JO - Annales scientifiques de l'École Normale Supérieure
PY - 1982
PB - Elsevier
VL - 15
IS - 1
SP - 173
EP - 204
LA - eng
KW - hyperbolic dynamics; pseudo-Anosov homeomorphism; Lyapunov exponents; Markov partition
UR - http://eudml.org/doc/82090
ER -

References

top
  1. [B-F-K] M. I. BRIN, J. FELDMAN and A. KATOK, Bernoulli Diffeomorphisms and Group Extensions of Dynamical Systems with Non-Zero Characteristic Exponents (Annals of Math., Vol. 113, 1981, pp. 159-179). Zbl0477.58021MR82i:58042
  2. [F-L-P] A. FATHI, F. LAUDENBACH and V. POÉNARU, Asterisque, Vol. 66-67, Travaux de Thurston sur les surfaces (Séminaire Orsay). 
  3. [F] J. FRANKS, Anosov Diffeomorphisms (Proceedings of a Symposium in Pure Mathematics, Vol. 14, Global Analysis, A.M.S., 1970, pp. 61-93. Zbl0207.54304MR42 #6871
  4. [G] A. A. GURA, On Expansive Diffeomorphisms of the Torus (Math. notes, Vol. 18, No. 1, 1975, pp. 605-610. Translation from Russian). Zbl0319.58012MR53 #6636
  5. [K] A. KATOK, Bernoulli Diffeomorphisms on Surfaces (Annals of Math., Vol. 110, 1979, pp. 529-547). Zbl0435.58021MR81a:28015
  6. [O-R] T. O'BRIEN and W. REDDY, Each Compact Orientable Surface of Positive Genus Admits an Expansive Homeomorphism (Pacific J. of Math., Vol. 35, No. 3, 1970, pp. 737-741). Zbl0187.44904MR43 #2692
  7. [O] D. ORNSTEIN, Ergodic Theory, Randomness and Dynamical Systems, Yale University Press, 1974. Zbl0296.28016MR56 #5836
  8. [P] Ya. B. PESIN, Characteristic Lyapunov Exponents and Smooth Ergodic Theory (Russian Math. Surveys, Vol. 32, No. 4, 1977, pp. 55-114). Zbl0383.58011
  9. [S] S. SMALE, Differentiable Dynamical Systems (Bull. A.M.S., Vol. 73, 1967, pp. 747-817). Zbl0202.55202MR37 #3598
  10. [T] W. THURSTON, On the Geometry and Dynamics of Diffeomorphisms of Surfaces, preprint. Zbl0674.57008

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.