Mathematical Sciences: Conformal uniformization and circle packing immersions.

数学科学：共形均匀化和圆堆积浸入。

• 批准号: 9403548
• 负责人: Burton Rodin
• 金额: $ 1.4万
• 依托单位: University of California-San Diego
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-10-15 至 1995-09-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9403548&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Conformal; uniformization; circle

The research covers topics in the geometry and analysis of planar domains and conformal mappings in complex function theory. The relationship between conformal mappings and circle packing immersions will be pursued. The research has possible applications to complex dynamical systems and fractals. Since the the circle packing problems involve the geometry of configurative systems, the research may also have possible applications to the initiatives of manufacturing and materials research. Schramm's presence at the institution will benefit the current activities of the resident group and their graduate students. ***

研究内容包括复函数理论中平面域和保角映射的几何和分析。保形映射和圆填充浸入之间的关系将被探讨。该研究对复杂动力系统和分形有一定的应用前景。由于圆填充问题涉及构型系统的几何结构，因此本研究也可能应用于制造和材料研究的主动性。Schramm在该机构的存在将有利于驻地小组和他们的研究生当前的活动。* * *