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. ***

该研究涵盖了平面域的几何形状和分析和复杂功能理论中的共形映射的主题。 将追求保形映射与圆圈沉浸式的关系。 该研究可能应用于复杂的动力系统和分形。由于圆形包装问题涉及配置系统的几何形状，因此研究还可能在制造和材料研究的计划中应用。施拉姆在该机构的存在将使居民小组及其研究生的当前活动受益。 ***