Cincinnati Symposium on Probability Theory and Applications 2014, September 19-21, 2014

2014 年辛辛那提概率论及其应用研讨会，2014 年 9 月 19-21 日

• 批准号: 1441641
• 负责人: Robert Buckingham
• 金额: $ 2万
• 依托单位: University of Cincinnati Main Campus
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2014
• 资助国家: 美国
• 起止时间: 2014-07-01 至 2015-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1441641&HistoricalAwards=false
• 关键词: Cincinnati; Symposium; Probability; Theory; Applications

The Cincinnati Symposium on Probability Theory and Applications 2014 will take place September 19 to 21, 2014 at the University of Cincinnati with a focus on current research in limit theorems for dependent structures. Dependent structures are ubiquitous in physical applications, yet present many mathematical challenges. Several important breakthroughs have been made in recent years by combining ideas from two or more of the Symposium focus areas. The Symposium will provide a platform to showcase recent developments and stimulate new cross-disciplinary investigations and collaborations. In order to stimulate new ideas and assist with the professional development of young probabilists, the Symposium will emphasize the participation of graduate students and recent PhD recipients. Besides invited talks by senior researchers, there will be ample opportunities for young investigators to present their research in shorter talks and at a poster forum. By providing travel support, especially to junior probabilists, this award will facilitate interactions and potential collaborations between junior and more established researchers, and encourage the infusion of new ideas across probability and related fields. Recently, significant progress has been made in understanding how classical limit theorems persist or break down when the assumption of weak dependence is not valid. At the same time, models with complex dependence structures, notably arising from random matrix theory and mathematical physics, present new challenges to probabilists. The Symposium will bring together experts and junior researchers working on 1) almost sure limit theorems via martingale approximations, 2) long-range dependence phenomena and infinite ergodic theory, and 3) spectra of large-dimensional random matrices. Symposium website: http://math.uc.edu/probability

2014年辛辛那提概率论与应用研讨会将于2014年9月19日至21日在辛辛那提大学举行，重点讨论相关结构极限定理的最新研究。相关结构在物理应用中无处不在，但也提出了许多数学难题。近年来，通过结合研讨会两个或多个重点领域的想法，已经取得了一些重要突破。研讨会将提供一个展示最新发展的平台，并促进新的跨学科研究和合作。为了激发新的想法和帮助年轻的概率学家的专业发展，研讨会将强调研究生和最近获得博士学位的人的参与。除了邀请资深研究人员进行演讲外，青年研究人员还将有充足的机会在简短的演讲和海报论坛上展示他们的研究。通过提供旅行支持，特别是对初级概率学家，该奖项将促进初级和更成熟的研究人员之间的互动和潜在合作，并鼓励在概率和相关领域注入新的想法。近年来，在理解经典极限定理在弱依赖假设不成立时如何维持或失效方面取得了重大进展。与此同时，具有复杂依赖结构的模型，特别是来自随机矩阵理论和数学物理的模型，给概率学家提出了新的挑战。研讨会将汇集专家和初级研究人员，致力于1)通过鞅近似的几乎确定的极限定理，2)远程依赖现象和无限遍历理论，以及3)大维随机矩阵的谱。研讨会网址：http://math.uc.edu/probability