Complex Dynamics and Renormalization 2024 pdf epub mobi 电子书

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发表于2024-11-24

Complex Dynamics and Renormalization 2024 pdf epub mobi 电子书

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出版者:Princeton University Press

作者:Curtis T. McMullen

出品人:

页数:214

译者:

出版时间:1994-11-29

价格:USD 65.00

装帧:Paperback

isbn号码:9780691029818

丛书系列:

图书标签: 量子场论7

Complex Dynamics and Renormalization 2024 pdf epub mobi 电子书图书描述

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 2024 pdf epub mobi 电子书

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