Mathematical Sciences: "Ramifications of Value Distribution"

数学科学：“价值分布的后果”

• 批准号: 9103566
• 负责人: David Drasin
• 金额: $ 2.15万
• 依托单位: Purdue Research Foundation
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-06-15 至 1994-05-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9103566&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Ramifications; Value; Distribution

In this project the principal investigator and his students will work on a number of problems in complex variable theory centered around the distribution of values of complex functions. In particular, they will study the ramification and value- distribution properties of quasi-regular mappings, the exceptional set in the Gross star theorem and in Plessner's theorem, and the error term in the Nevanlinna theory. In addition, the principal investigator and his students will explore the application of some of this work to problems in differential equations and complex iteration. The area of complex variable theory has had a long and distinguished history, and the principal investigator is one of the leaders in the subarea of complex variable theory concerned with the distribution of the values of complex functions. In this project the principal investigator will work with graduate students to extend our knowledge of the value-distribution properties of various classes of functions that arise as solutions of differential equations in the complex plane.

在这个项目中，首席研究员和他的学生将研究围绕复函数值分布的复变量理论中的一些问题。特别地，他们将研究拟正则映射的分支和值分布性质，Gross star定理和Plessner定理中的例外集，以及Nevanlinna理论中的误差项。此外，首席研究员和他的学生将探索将这项工作中的一些应用于微分方程和复杂迭代问题。复变量理论领域有着悠久而杰出的历史，首席研究员是研究复函数值分布的复变量理论子领域的领导者之一。在这个项目中，首席研究员将与研究生一起扩展我们对复平面中作为微分方程解的各种函数的值分布特性的知识。