Mathematical Sciences: Complex Analysis

数学科学：复分析

• 批准号: 8901729
• 负责人: Clifford Earle
• 金额: --
• 依托单位: Cornell University
• 依托单位国家: 美国
• 项目类别: Continuing grant
• 财政年份: 1989
• 资助国家: 美国
• 起止时间: 1989-06-01 至 1992-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8901729&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Complex; Analysis

The three Principal Investigators will continue their studies of the relationships between Teichmuller spaces, families of Riemann surfaces, and the dynamical systems of the complex plane. Specific attention will be paid to the degree three Mandelbrot set for centered polynomials and Julia sets which are Cantor. Work on the Douady-Earle barycentric coordinates will continue. The exquisite fractal Julia and generalized Mandelbrot sets will be studied for degree three polynomials. These sets which can be generated by simple programs on home computers have recently excited the general public about mathematics. The Principal Investigators will continue to study the deep mathematical properties of these fractals.

三位首席研究员将继续 研究Teichmuller空间、族 黎曼曲面，和复杂的动力系统 飞机 将特别关注度三 中心多项式的Mandelbrot集和Julia集， 康托 对Douady-Earle重心坐标的研究将 继续 精致分形Julia集与广义Mandelbrot集 将研究三阶多项式。 这些集合 它可以通过家用电脑上的简单程序生成 最近让公众对数学感到兴奋。 的 主要研究人员将继续深入研究 这些分形的数学性质。