Complex dynamics and renormalization /
by Curtis T. McMullen.
- vii, 214 p. : ill. ; 24 cm.
- Annals of Mathematics Studies ; 135 .
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 -- A Orbifolds -- B A closing lemma for rational maps.