U.S.-China Cooperative Research on Geometric Probability

中美几何概率合作研究

• 批准号: 9906856
• 负责人: Eric Grinberg
• 金额: $ 2.88万
• 依托单位: Temple University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1999
• 资助国家: 美国
• 起止时间: 1999-07-15 至 2004-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9906856&HistoricalAwards=false
• 关键词: U.S.; China; Cooperative; Research; Geometric

9906856GrinbergThis award supports collaborative research on geometric probability between U.S. mathematicians Eric Grinberg, Temple University, Gaoyang Zhang, Brooklyn Polytechnic University, and Chinese mathematicians Ren Delin, Wuhan Yejin University of Science and Technology, and Li Haizhong, Tsinghua University. The proposed research deals with the basic theory of geometric probability, and will focus on various integral formulas. The problems proposed fall into three categories: kinematic formulas of convex bodies; inclusion measures of convex bodies; and integral formulas on manifolds. Applications of this work are anticipated in other fields of mathematics, as well as in areas such as X-ray imaging and other imaging technologies. The US team has a senior and a junior partner with strong qualifications in this area of research; their Chinese counterparts are also highly qualified.This project involves participation of junior faculty and graduate students and is based on an interesting topic which will profit from the contributions of both groups. The senior Chinese PI is a recognized expert in the area of geometric probability. The junior Chinese PI is at arguably China's top university and is receiving support from the Chinese NSF for this research and for the international cooperation.

9906856Grinbergthis Award支持美国数学家Eric Grinberg，Temple University，Gaoyang Zhang，Brooklyn Polytechnic University与中国数学家Ren Delin，Wuhan Yejin Science Ankecents，以及Li Haizhong，Li Haizhong，Tsinghua University。 拟议的研究涉及几何概率的基本理论，并将集中于各种整体公式。 提出的问题分为三类：凸体的运动学公式；凸体的纳入度量；以及歧管上的整体公式。这项工作的应用预计将在数学的其他领域以及X射线成像和其他成像技术等领域中进行。 美国团队在这一研究领域有一个高级和初级合作伙伴；他们的中国对手也很有资格。该项目涉及初级教职员工和研究生的参与，并以一个有趣的话题为基础，该主题将从两组的贡献中获利。中国PI是几何概率领域的公认专家。中国初中的PI可以说是中国顶级大学，并正在获得中国NSF的这项研究和国际合作的支持。