Mathematical Sciences: Topics in Dynamical Systems, Ergodic Theory, and Geometry

数学科学：动力系统、遍历理论和几何主题

• 批准号: 9404061
• 负责人: Anatole Katok
• 金额: $ 19.87万
• 依托单位: Pennsylvania State Univ University Park
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-07-01 至 1997-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9404061&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Topics; Dynamical; Systems

9404061 Katok The topics covered in the proposed plan of research cover geometric rigidity in classes of dynamical systems. These include classifications of Anosov actions of certain groups and various kinds of smooth actions of lattices on semi-simple Lie groups. Areas of smooth ergodic theory relative to dynamical systems are also planned for investigation. The research has potential applications to other areas of dynamical systems theory and mathematical physics. ***

小行星9404061 在拟议的研究计划所涵盖的主题包括几何刚性类的动力系统。其中包括某些群的Anosov作用的分类和半单李群上格的各种光滑作用。 与动力系统相关的光滑遍历理论领域也计划进行调查。该研究对动力系统理论和数学物理的其他领域具有潜在的应用价值。 ***