Complex dynamics and renormalization
by Curtis T. McMullen.
Princeton, N.J. : Princeton University Press, 1994.
vii, 214 págs. : ilustraciones ; 24 cm.
Serie: Annals of mathematics studies ; no. 135
ISBN: 0691029814 (pbk.), 0691029822 (cloth)
Incluye referencias bibliográficas (p. 207-212) e índice.
Reseña: MathSciNet, 96b:58097
Contenido
- 1. Introduction
- 2. Background in conformal geometry
- 3. Dynamics of rational maps
- 4. Holomorphic motions and the Mandelbrot set
- 5. Compactness in holomorphic dynamics
- 6. Polynomials and external rays
- 7. Renormalization
- 8. Puzzles and infinite renormalization
- 9. Robustness
- 10. Limits of renormalization
- 11. Real quadratic polynomials.