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

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Curtis T. McMullen

Princeton University Press

1994-11-29

214

USD 65.00

Paperback

9780691029818

图书标签: 量子场论7

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发表于2024-09-21

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

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

图书描述

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.

Complex Dynamics and Renormalization 下载 mobi epub pdf txt 电子书