Parabolic rational maps

Journal of the London Mathematical Society

Volumn 63, Issue 3, 2001, Pages 673-689

  Haydn, Nicolai ^a   Isola, Stefano ^b  

^a UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

^b UNIVERSITY OF CAMERINO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035381358     PISSN: 00246107     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0024610701001958     Document Type: Article

References (20)

1. J. AARONSON, M. DENKER and M. URBANSKI, 'Ergodic theory for Markov fibred systems and parabolic rational maps', Trans. Amer. Math. Soc. 337 (1993) 495-548.
2. A. F. BEARDON, Iteration of rational functions, Graduate Texts in Mathematics (Springer, 1991).
3. R. BOWEN and D. RUELLE, 'The ergodic theory of Axiom A flows', Invent. Math. 29 (1975) 181-202.
4. M. CAMPANINO and S. ISOLA, 'Statistical properties of long return times in type I intermittency', Forum Math. 7 (1995) 331-348.
5. M. DENKER and M. URBANSKI, 'Absolutely continuous invariant measures for expansive rational maps with rationally indifferent periodic points', Forum Math. 3 (1991) 561-579.
6. M. DENKER and M. URBANSKI, 'Hausdorff and conformal measures on Julia sets with a rationally indifferent periodic point', J. London Math. Soc. 43 (1991) 107-118.
7. E. HILLE, Analytic function theory (Ginn, Boston, MA, 1962).
8. T. KATO, Perturbation theory of linear operators (Springer, Berlin, 1980).
9. L. KEEN, 'Julia sets', Chaos and fractals, Proceedings of Symposia in Applied Mathematics 39 (ed. R. Devaney and L. Keen, American Mathematical Society, Providence, RI, 1989) 57-74.
10. G. KELLER, 'On the rate of convergence to equilibrium in one-dimensional systems', Comm. Math. Phys. 96 (1984) 181-185.
11. S. P. LALLEY, 'Renewal theorems in symbolic dynamics, with applications to geodesic flows, noneuclidean tessellations and their fractal limits', Acta. Math. 163 (1989) 1-55.
12. R. D. MAULDIN and M. URBANSKI, 'Dimensions and measures in infinite iterated function systems', Proc. London Math. Soc. 73 (1996) 105-154.
13. J. MILNOR, Dynamics in one complex variable: introductory lectures (Institute for Mathematical Sciences, State University of New York, Stony Brook, 1990).
14. A. G. POSTNIKOV, 'Tauberian theory and its applications', Proc. Steklov Inst. Math. 2 (1980).
15. M. REED and B. SIMON, Methods of modern mathematical physics. Vol. IV: Analysis of operators (Academic Press, New York, 1978).
16. D. RUELLE, Thermodynamic formalism (Addison Wesley, 1978).
17. D. RUELLE, 'Repellers for analytic maps', Ergodic Theory Dynam. Systems 2 (1982) 99-107.
18. F. SCHWEIGER, Ergodic theory of Markov fibered systems and combinatorial number theory (Oxford University Press, 1995).
19. D. SULLIVAN, Conformal dynamical systems, Lecture Notes in Mathematics 1007 (Springer, Berlin, 1983) 725-752.
20. P. WALTERS, 'A variational principle for the pressure of continuous maps', Amer. J. Math. 97 (1979) 937-971.