Workshop on "Infinite Ergodic Theory" at Surrey

遍历理论是对确定性系统的概率或统计方面的分析。概率方法是合适的，因为特定的轨迹在“混沌”系统中是不可预测的。遍历理论的研究倾向于关注底层测度是概率测度的情况。然而，在过去的二十年左右，无限测度系统的研究——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联系在一起。该计划将于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。这将建立在萨里大学的研究人员最近在无限遍历理论方面的意想不到的突破之上，再加上该领域无可争议的世界领袖乔恩·阿伦森教授的存在，他是2011-2012年期间在萨里度过6个月的Leverhulme访问教授。

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.