Complex Dynamics and Renormalization

Published by Princeton University Press, Princeton, 1994

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Seller: Expatriate Bookshop of Denmark/John Jackson Books, Svendborg, DenmarkExpatriate Bookshop of Denmark/John Jackson Books

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orig.wrappers Minor rubbing. VG. 24x15cm, vii,214 pp., PAPERBACK. Series: Annals of Mathematics Studies, No. 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 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." - Publisher's description.

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Bibliographic details

Title
Complex Dynamics and Renormalization
Author
McMullen, Curtis T.
Publisher
Princeton University Press, Princeton
Publication year
1994
Condition
Minor rubbing. VG.
Binding
Soft cover

Expatriate Bookshop of Denmark/John Jackson Books

Svendborg, Denmark

5-star seller

AbeBooks seller since December 6, 1998

Shipping rates from Denmark to U.S.A.

Item27 to 52 business days31 to 53 business days
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