A brief introduction to one-dimensional complex dynamics
杨飞1
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作者信息
1. 南京大学数学系,南京 210093
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摘要
复动力系统研究复解析函数的迭代理论.本文介绍一维复动力系统的历史、基本理论和发展.
Abstract
Complex dynamics is a field about the iterative theory of complex analytic functions.In this paper,we survey the history,basic theory and developments of one-dimensional complex dynamics.
关键词
复动力系统/Julia集/Fatou集/Mandelbrot集/双曲猜想/重整化/拟共形手术
Key words
complex dynamics/Julia sets/Fatou sets/Mandelbrot set/hyperbolic conjecture/renormaliza-tion/quasiconformal surgery