Complex Dynamics and Renormalization 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Curtis T. McMullen 作者

Princeton University Press

译者

1994-11-29 出版日期

214 页数

USD 65.00 价格

Paperback

丛书系列

9780691029818 图书编码

Complex Dynamics and Renormalization 在线电子书图书标签: 量子场论7

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Complex Dynamics and Renormalization 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Complex Dynamics and Renormalization 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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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.

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