Mathematical Sciences: RUI: Nonsingular Ergodic Theory

数学科学：RUI：非奇异遍历理论

• 批准号: 9002875
• 负责人: Cesar Silva
• 金额: $ 4.53万
• 依托单位: Williams College
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1990
• 资助国家: 美国
• 起止时间: 1990-06-15 至 1992-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9002875&HistoricalAwards=false
• 关键词: Mathematical; Sciences; RUI; Nonsingular; Ergodic

Professor Silva will study nonsingular joinings in ergodic theory. Nonsingular joinings, a concept introduced by D. Rudolph and studied previously by Silva and Rudolph, will play a pivotal role in Silva's study of nonsingular infinite measure- preserving transformations. This project involves research in ergodic theory. Ergodic theory in general concerns understanding the average behavior of systems whose dynamics is too complicated or chaotic to be followed in microscopic detail. Usually ergodic theory involves a dynamics which preserves a natural probability measure. Professor Silva's research concerns systems where this nice property fails to hold.

席尔瓦教授将研究遍历中的非奇异连接 理论 非奇异连接是D. 鲁道夫和研究以前的席尔瓦和鲁道夫，将发挥 在席尔瓦的研究非奇异无限测度的关键作用- 保持变换。 这个项目涉及遍历理论的研究。 遍历 理论一般涉及理解的平均行为， 系统的动力学过于复杂或混乱， 在微观细节上进行跟踪。 遍历理论通常涉及 保持自然概率测度的动力学。 席尔瓦教授的研究关注的是 财产不能持有。