Google full text of our books:

     
bookjacket

Complex Dynamics and Renormalization (AM-135)
Curtis T. McMullen

Curtis T. McMullen, Winner of the 1998 Fields Medal, International Congress of Mathematicians

Paperback | 1994 | $75.00 | £55.95 | ISBN: 9780691029818
214 pp. | 6 x 9 | 31 line drawings
Add to Shopping Cart

eBook | ISBN: 9781400882557 |
Our eBook editions are available from these online vendors

Reviews | Table of Contents

Google full text of this book:
 

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 infinitely renormalizable quadratic polynomial f(z) = z2 + c. As discovered by Feigenbaum, such a mapping exhibits a repetition of form at infinitely many scales. Drawing on universal estimates in hyperbolic geometry, this work gives an analysis of the limiting forms that can occur and develops a rigidity criterion for the polynomial f. This criterion supports general conjectures about the behavior of rational maps and the structure of the Mandelbrot set.

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.

Reviews:

"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

Another Princeton book authored or coauthored by Curtis T. McMullen:

Series:

Subject Area:

VISIT OUR MATH WEBSITE

Shopping Cart options:

  • For ebooks:

Our eBook editions are available
from these online vendors:

  • Google Play eBook Store
  • Many of our ebooks are available through
    library electronic resources including these platforms:

  • Books at JSTOR
  • Ebrary
  • Ebook Library
  • EBSCO Ebooks
  • MyiLibrary
  • Dawsonera (UK)

    • For hardcover/paperback orders in United States, Canada, Latin America, Asia, and Australia

     Paperback : $75.00 ISBN: 9780691029818

    Add to shopping cart
    View contents of your shopping cart

    • For hardcover/paperback orders in Europe, Africa, the Middle East, India, and Pakistan

     Paperback : £55.95 ISBN: 9780691029818

    Add to shopping cart
    View contents of your shopping cart

    Prices subject to change without notice

    File created: 4/27/2016

    Questions and comments to: webmaster@press.princeton.edu
    Princeton University Press

    New Book E-mails
    New In Print
    PUP Blog
    Videos/Audios
    Princeton APPS
    Sample Chapters
    Subjects
    Series
    Catalogs
    Princeton Legacy Library
    Exam/Desk Copy
    Textbooks
    Media/Reviewers
    Rights/Permissions
    Ordering
    Recent Awards
    Princeton Shorts
    Freshman Reading
    PUP Europe
    About Us
    Contact Us
    Links
    F.A.Q.
    MATH SITE
    PUP Home


    Bookmark and Share
    Send me emails
    about new books in:
    Mathematics
    More Choices