Volume 135. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,550grams, ISBN:0691029822.

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Bibliographic Details

Title

Annals of Mathematics Studies: Complex Dynamics and Renormalization (Volume 135)

Publisher

Princeton University Press

Publication Date

1994

Language

English

ISBN 10

0691029822

ISBN 13

9780691029825

Binding

Hardcover

Condition

Good

Weight

550 grams

Seller catalogs

Mathematics

About this title

Synopsis

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.

About the Author

Curtis T. McMullen is Professor of Mathematics at the University of California, Berkeley.

"About this title" may belong to another edition of this title.

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