Mathematical Sciences: Joinings of Ergodic Group Actions

数学科学：遍历群动作的连接

• 批准号: 8805340
• 负责人: E. Arthur Robinson
• 金额: $ 3.15万
• 依托单位: George Washington University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1988
• 资助国家: 美国
• 起止时间: 1988-07-01 至 1990-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8805340&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Joinings; Ergodic; Group

This project is mathematical research in ergodic theory, which studies the average behavior, over the long run, of transformations or groups of transformations acting on an appropriate underlying space. More specifically, Professor Robinson will investigate joinings of ergodic group actions, with two main objectives in mind. The first is to see how joinings lift to extensions; a result of this will be new lifting theorems for ergodic mixing properties. The second part of the project seeks to construct or identify new examples of group actions with interesting joining properties.

这个项目是遍历理论的数学研究，它研究作用于适当的底层空间的变换或变换组的长期平均行为。更具体地说，罗宾逊教授将研究遍历集体行动的联合，考虑到两个主要目标。第一个是看看连接如何提升到扩张；结果将是遍历混合性质的新提升定理。该项目的第二部分试图构建或确定具有有趣的联合属性的群体诉讼的新例子。