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Workshop on "Infinite Ergodic Theory" at Surrey

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:
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
项目状态:
已结题
起止时间:
2012 至 --

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中文摘要
翻译
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,因为在“混沌”系统中特定的轨迹是不可预测的。遍历理论的研究倾向于集中在潜在度量是概率度量的情况下。然而,在过去二十年左右的时间里,无限测量系统的研究--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有关。提议于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。这将建立在萨里大学研究人员最近在无限遍历理论上出人意料的突破,以及Jon Aaronson教授的出席,Jon Aaronson教授是该领域无可争议的世界领导者,他是Leverhulme访问教授职位的获得者,在2011-2012年间在萨里呆了6个月。
英文摘要
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.
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会议论文
Anomalous Diffusion in Deterministic Systems
  • 批准号:
    EP/F031807/1
  • 项目类别:
    Research Grant
  • 资助金额:
    $37.95万
  • 财政年份:
    2008
  • 负责人:
    Ian Melbourne
  • 依托单位:
Mixing for continuous time dynamical systems, and invariance principles for time-one maps
  • 批准号:
    EP/D055520/1
  • 项目类别:
    Research Grant
  • 资助金额:
    $2.43万
  • 财政年份:
    2006
  • 负责人:
    Ian Melbourne
  • 依托单位:
海外基金