Perturbing circle-packing Kleinian groups as correspondences

Nonlinearity

Volumn 12, Issue 3, 1999, Pages 635-672

  Bullett, Shaun ^a   Penrose, Christopher ^a  

^a QUEEN MARY UNIVERSITY OF LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033130273     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/12/3/313     Document Type: Article

References (29)

1. Beardon A F 1991 Iteration of Rational Functions (Berlin: Springer)
2. Bers L and Royden H 1986 Holomorphic families of injections Acta Math. 157 259-86
3. Bullett S and Penrose C 1994 Mating quadratic maps with the modular group Inventiones Math. 115 483-511
4. Bullett S and Penrose C 1998 Regular and limit sets for holomorphic correspondences Preprint QMW
5. Bullett S and Penrose C 1994 A gallery of iterated correspondences Exp. Math. 3 85-105
6. Bullett S and Penrose C 1995 Dynamics of holomorphic correspondences Proc. 11th Congress of Mathematical Physics ed D Iagolnitzer (Cambridge, MA: International Press) pp 261-72
7. Bullett S and Sentenac P 1994 Ordered orbits of the shift, square roots, and the devil's staircase Math. Proc. Camb. Phil. Soc. 115 451-81
8. Douady A and Hubbard J H 1982 Itération des polynômes quadratiques complexes C. R. Acad. Sci. Paris 294 123-6
9. Gehring F and Martin G 1989 Iteration theory and inequalities for Kleininan groups Bull. Am. Math. Soc. 21 57-63
10. Gehring F and Martin G 1991 Inequalities for Möbius transformations and discrete groups J. Reine Angew. Math. 418 31-76
11. Gehring F and Martin G Commutators Collars and the geometry of Möbius groups Preprint
12. Hedlund G and Morse M 1940 Symbolic dynamics II: Sturmian trajectories Am. J. Math. 62 1-42
13. Keen L, Maskit B and Series C1993 Geometric finiteness and uniqueness for Kleinian groups with circle packing limit sets J. Reine Angew. Math. 436 209-19
14. Keen L and Series C 1994 The Riley slice of Schottky space Proc. Land. Math. Soc. 69 72-90
15. Keen L and Series C 1992 Pleating coordinates for the Teichmüller space of a punctured torus Bull. Am. Math. Soc. 26 141-6
16. Keen L and Series C 1993 Pleating coordinates for the Maskit embedding of the Teichmüller space of punctured tori Topology 32 719-50
17. Keen L and Series C 1998 Pleating invariants for punctured torus groups (Warwick) Preprint
18. Komori Y and Series C 1997 The Riley slice revisited (Warwick) Preprint
19. Kra I and Maskit B 1980 Remarks on projective structures Riemann surfaces and related topics: Proc. 1978 Stony Brook Conference (Princeton, NJ: Princeton University Press)
20. Mañé R, Sad P and Sullivan D 1983 On the dynamics of rational maps Ann. Sci. Ec. Norm. Sup. (Paris) 16 193-217
21. Maskit B 1983 Parabolic elements in Kleinian groups Ann. Math. 117 659-68
22. Maskit B 1987 Kleinian groups (Berlin: Springer)
23. McGehee R 1992 Attractors for closed relations on compact Hausdorff spaces Indiana Univ. Math. 41 1165-1209
24. McMullen C T 1991 Cusps are dense Ann. Math. 133 217-47
25. McMullen C T and Sullivan D 1998 Quasi-conformal homeomorphisms and dynamics III: the Teichmüller space of a holomorphic dynamical system Adv. Math 135 351-95
26. McShane G, Parker J and Redfern I 1994 Drawing limit sets of Kleinian groups using finite state automata Exp. Math. 3 153-70
27. Minsky Y 1994 On rigidity, limit sets and end invariants of hyperbolic 3-manifolds J. Am. Math. Soc. 7 539-58
28. Parkkonen J The outside of the Teichmüller space of punctured tori in Maskit's embedding Preprint
29. Sullivan D and Thurston W 1986 Extending holomorphic motions Acta Math. 157 243-58