32 Conformal measures, invariant measures and fractal geometry of subexpanding rational functions

Kapitel in diesem Buch

1. Frontmatter I
2. Preface VII
3. List of Figures IX
4. Introduction to Volume 3 XI
5. Contents XVII
6. Volume 3
7. 22 The Riemann–Hurwitz formula 925
8. 23 Selected tools from complex analysis 945
9. 24 Dynamics and topology of rational functions: their Fatou and Julia sets 955
10. 25 Selected technical properties of rational functions 1045
11. 26 Expanding (or hyperbolic), subexpanding, and parabolic rational functions: topological outlook 1087
12. 27 Equilibrium states for rational functions and Hölder continuous potentials with pressure gap 1109
13. 28 Invariant measures: fractal and dynamical properties 1161
14. 29 Sullivan’s conformal measures for rational functions 1197
15. 30 Conformal measures, invariant measures and fractal geometry of expanding rational functions 1233
16. 31 Conformal measures, invariant measures and fractal geometry of parabolic rational functions 1243
17. 32 Conformal measures, invariant measures and fractal geometry of subexpanding rational functions 1285
18. Appendix A – A selection of classical results 1315
19. Bibliography 1327
20. Index 1333