McMullen, Curtis T.

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.

0691029822 (cloth) : $49.50 0691029814 (pbk.) : $22.50


Renormalization (Physics)
Polynomials
Renormalizasyon (Fizik)
Polinomlar
Dinamik
Dynamics
Matematiksel fizik
Mathematical physics

QC20.7.R43 / M361 1994