## Complex Dynamics and Renormalization (AM-135) |

Addressing researchers and graduate students in the active meeting ground of analysis, geometry, and dynamics, this book presents a study of renormalization of quadratic polynomials and a rapid introduction to techniques in complex dynamics. Its central concern is the structure of an The course of the main argument entails many facets of modern complex dynamics. Included are foundational results in geometric function theory, quasiconformal mappings, and hyperbolic geometry. Most of the tools are discussed in the setting of general polynomials and rational maps. "This book presents a great many ideas very clearly and should prove to be a valuable addition to the complex dynamics literature." - Background in conformal geometry
- Dynamics of rational maps
- Holomorphic motions and the Mandelbrot set
- Compactness in holomorphic dynamics
- Polynomials and external rays
- Renormalization
- Puzzles and infinite renormalization
- Robustness
- Limits of renormalization
- Real quadratic polynomials
- Annals of Mathematics Studies
Phillip A. Griffiths, John N. Mather, and Elias M. Stein, Editors
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