Skip to content
Register Sign in Wishlist

Quasiconformal Surgery in Holomorphic Dynamics

$105.00 (P)

Part of Cambridge Studies in Advanced Mathematics

Xavier Buff, Christian Henriksen, Shaun Bullett, Adam L. Epstein, Michael Yampolsky, Peter Haïssinsky, Carsten L. Petersen, Kevin M. Pilgrim, Tan Lei
View all contributors
  • Date Published: March 2014
  • availability: In stock
  • format: Hardback
  • isbn: 9781107042919

$ 105.00 (P)
Hardback

Add to cart Add to wishlist

Other available formats:
eBook


Looking for an examination copy?

If you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact collegesales@cambridge.org providing details of the course you are teaching.

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • Since its introduction in the early 1980s quasiconformal surgery has become a major tool in the development of the theory of holomorphic dynamics, and it is essential background knowledge for any researcher in the field. In this comprehensive introduction the authors begin with the foundations and a general description of surgery techniques before turning their attention to a wide variety of applications. They demonstrate the different types of surgeries that lie behind many important results in holomorphic dynamics, dealing in particular with Julia sets and the Mandelbrot set. Two of these surgeries go beyond the classical realm of quasiconformal surgery and use trans-quasiconformal surgery. Another deals with holomorphic correspondences, a natural generalization of holomorphic maps. The book is ideal for graduate students and researchers requiring a self-contained text including a variety of applications. It particularly emphasises the geometrical ideas behind the proofs, with many helpful illustrations seldom found in the literature.

    • The first one-stop text for learning the technique of quasiconformal surgery
    • Numerous illustrations lead the reader to a better understanding of the geometrical ideas behind the proofs
    • Includes contributions from leading experts in their field
    Read more

    Reviews & endorsements

    "This worthwhile book, written by two of the main experts in this field with some contributions from some well-known researchers, gives a comprehensive introduction to the subject, from the foundations of the theory up to several important and representative applications … All in all, this book is a very welcome addition to the literature, and an excellent entrance point to the theory for any researcher interested in this subject."
    Marco Abate, Zentralblatt MATH

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: March 2014
    • format: Hardback
    • isbn: 9781107042919
    • length: 428 pages
    • dimensions: 233 x 156 x 20 mm
    • weight: 0.84kg
    • contains: 30 b/w illus. 105 colour illus. 85 exercises
    • availability: In stock
  • Table of Contents

    Preface
    Introduction
    1. Quasiconformal geometry
    2. Extensions and interpolations
    3. Preliminaries on dynamical systems and actions of Kleinian groups
    4. Introduction to surgery and first occurrences
    5. General principles of surgery
    6. Soft surgeries with a contribution by X. Buff and C. Henriksen
    7. Cut and paste surgeries with contributions by K. M. Pilgrim, Tan Lei and S. Bullett
    8. Cut and paste surgeries with sectors with a contribution by A. L. Epstein and M. Yampolsky
    9. Trans-quasiconformal surgery with contributions by C. L. Petersen and P. Haïssinsky
    Bibliography
    Symbol index
    Index.

  • Authors

    Bodil Branner, Technical University of Denmark, Lyngby
    Bodil Branner is Professor Emerita at the Technical University of Denmark, Lyngby. Her research interests include holomorphic dynamics and complex analysis. She has published in several renowned international journals and given numerous invited talks at conferences, workshops and symposia. Branner has served as Vice-President of the European Mathematical Society, as President of Dansk Matematisk Forening (DMF) and she was one of the founders of European Women in Mathematics. She is an honorary member of DMF and a Fellow of the AMS.

    Núria Fagella, Universitat de Barcelona
    Núria Fagella is currently Associate Professor at Universitat de Barcelona. Her research is in the area of holomorphic dynamics with an emphasis on the iteration of transcendental functions. She publishes in renowned international journals and with a diverse range of collaborators worldwide. Fagella has been invited to deliver talks and short courses at numerous international conferences and workshops, and has been an organiser of several such events.

    Contributors

    Xavier Buff, Christian Henriksen, Shaun Bullett, Adam L. Epstein, Michael Yampolsky, Peter Haïssinsky, Carsten L. Petersen, Kevin M. Pilgrim, Tan Lei

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×