Description

Book Synopsis
Addressing researchers and graduate students in the meeting ground of analysis, geometry, and dynamics, this book presents a study of renormalization of quadratic polynomials and an introduction to techniques in complex dynamics. Its central concern is the structure of an infinitely renormalizable quadratic polynomial f(z) = z2 + c.

Trade Review
Curtis T. McMullen, Winner of the 1998 Fields Medal, International Congress of Mathematicians "This book presents a great many ideas very clearly and should prove to be a valuable addition to the complex dynamics literature."--Mathematical Reviews

Table of Contents
* 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

Complex Dynamics and Renormalization

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    A Paperback / softback by Curtis T. McMullen

    £94.96

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      Book details

      Publisher Princeton University Press
      Published 19 December 1994
      ISBN-13 9780691029818
      978-0691029818
      ISBN-10 0691029814

      Description

      Book Synopsis
      Addressing researchers and graduate students in the meeting ground of analysis, geometry, and dynamics, this book presents a study of renormalization of quadratic polynomials and an introduction to techniques in complex dynamics. Its central concern is the structure of an infinitely renormalizable quadratic polynomial f(z) = z2 + c.

      Trade Review
      Curtis T. McMullen, Winner of the 1998 Fields Medal, International Congress of Mathematicians "This book presents a great many ideas very clearly and should prove to be a valuable addition to the complex dynamics literature."--Mathematical Reviews

      Table of Contents
      * 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

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