Mesures invariantes pour les fractions rationnelles géométriquement finies

Fundamenta Mathematicae

Volumn 160, Issue 1, 1999, Pages 39-61

  Havard, Guillaume ^a  

^a UNIVERSITÉ D'ORLÉANS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002505523     PISSN: 00162736     EISSN: None     Source Type: Journal    
DOI: 10.4064/fm-160-1-39-61     Document Type: Article

References (19)

1. J. Aaronson, M. Denker and M. Urbański, Ergodic theory for Markov fibred systems and parabolic rational maps, Trans. Amer. Math. Soc. 337 (1993), 495-548.
2. O. Bodart et M. Zinsmeister, Quelques résultats sur la dimension de Hausdorff des ensembles de Julia des polynômes quadratiques, Fund. Math. 151 (1996), 121-137.
3. R. Bowen, Equilibrium States and the Ergodic Theory of Anosov Diffeomorphisms, Lecture Notes in Math. 470, Springer, 1975.
4. M. Denker and M. Urbański, Hausdorff and conformal measures on Julia sets with a rationally indifferent periodic point, J. London Math. Soc. 43 (1991), 107-118.
5. _, _, Absolutely continuous invariant measures for expansive rational maps with rationally indifferent periodic points, Forum Math. 3 (1991), 561-579.
6. S. Foguel, The Ergodic Theory of Markov Processes, Van Nostrand, 1969.
7. C. McMullen, Hausdorff dimension and conformal dynamics 2: Geometrically finite rational maps, preprint, 1997.
8. _, Hausdorff dimension and conformal dynamics 3: Computation of dimension, preprint, 1997.
9. J. Milnor, Dynamics in One Complex Variable: Introductory Lectures, Stony Brook IMS preprint, 1990.
10. C. Pommerenke, Boundary Behaviour of Conformal Maps, Springer, 1992.
11. F. Przytycki and M. Urbański, Fractals in the complex plane - ergodic theory methods, to appear.
12. D. Ruelle, Thermodynamic Formalism, Addison-Wesley, 1978.
13. _, Repellers for real analytic maps, Ergodic Theory Dynam. Systems 2 (1982), 99-107.
14. S. Smirnov, Spectral analysis of Julia sets, thesis, California Institute of Technology, 1996.
15. D. Sullivan, Conformal dynamical systems, in: Geometric Dynamics, Lecture Notes in Math. 1007, Springer, 1983, 725-752.
16. M. Urbański, Rational functions with no recurrent critical points, Ergodic Theory Dynam. Systems 14 (1994), 391-414.
17. _, Geometry and ergodic theory of conformal non-recurrent dynamics, ibid. 17 (1997), 1449-1476.
18. P. Walters, A variational principle for the pressure of continuous transformations, Amer. J. Math. 97 (1976), 937-971.
19. _, An Introduction to Ergodic theory, Springer, 1982.