Workshop on "Infinite Ergodic Theory" at Surrey

萨里“无限遍历理论”研讨会

• 批准号: EP/J02130X/1
• 负责人: Ian Melbourne
• 金额: $ 1.85万
• 依托单位: University of Surrey
• 依托单位国家: 英国
• 项目类别: Research Grant
• 财政年份: 2012
• 资助国家: 英国
• 起止时间: 2012 至 无数据
• 项目状态: 已结题
• 来源: https://gtr.ukri.org/projects?ref=EP%2FJ02130X%2F1
• 关键词: Workshop; Infinite; Ergodic; Theory; Surrey

Ergodic theory is the analysis of probabilistic or statistical aspects of deterministic systems. The probabilistic approach is appropriate since specific trajectories are unpredictable in "chaotic" systems.Research in ergodic theory has tended to focus on situations where the underlying measure is a probability measure. However, over the last twenty years or so, the study of infinite measure systems -- infinite ergodic theory -- has emerged as a significant area of research with connections to several areas of mathematics (from number theory to mathematical physics) and numerous noteworthy applications. The proposal is to hold a week-long workshop on infinite ergodic theory at the University of Surrey during May 2012. This will build on recent unexpected breakthroughs in infinite ergodic theory by researchers at the University of Surrey, coupled with the presence of Professor Jon Aaronson who is the undisputed world-leader in the area and who is the recipient of a Leverhulme Visiting Professorship to spend 6 months at Surrey during 2011-2012.

遍历理论是对确定性系统的概率或统计方面的分析。概率方法是适当的，因为具体的轨迹是不可预测的“混沌”systems.Research遍历理论往往集中在潜在的措施是一个概率措施的情况下。然而，在过去的二十年左右，研究无限测度系统--无限遍历理论--已经成为一个重要的研究领域，与数学的几个领域（从数论到数学物理）和许多值得注意的应用有关。建议于2012年5月在萨里大学举办为期一周的无限遍历理论研讨会。这将建立在最近意外的突破无限遍历理论的研究人员在萨里大学，再加上教授乔恩Aaronson谁是无可争议的世界领导人在该地区的存在，谁是一个Leverhulme访问教授的收件人花6个月在萨里在2011-2012年。