Conference on Robustness and Partial Hyperbolicity

鲁棒性和部分双曲性会议

• 批准号: 0335551
• 负责人: Anne Wilkinson
• 金额: $ 2.1万
• 依托单位: Northwestern University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2003
• 资助国家: 美国
• 起止时间: 2003-12-15 至 2004-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0335551&HistoricalAwards=false
• 关键词: Conference; Robustness; Partial; Hyperbolicity

The Workshop aims to bring together the community of researchers, from all over the world, directly interested in the subject of partially hyperbolic dynamical systems, and related topics. It may be considered a follow-up to the International Conference held at Northwestern University in May 2001, and the possibility to turn this into a periodic series, with the next edition held in Dijon, France, in 2005, is under serious consideration.The 2003 workshop is organized by three of the best Brazilian mathematical research centers, IMPA, the Catholic University, and the Federal University of Rio de Janeiro, and will be attended by some 80 mathematicians, about half of them graduate students or recent PhDs. NSF support, combined with support from the organizers, has made possible a very substantial US participation, of more than 20 graduate students and both young and senior mathematicians.The topic of partial hyperbolicity emerged in the early seventies as one main direction in which the theory of complicated ("chaotic") dynamical systems has been developing and extending much beyond the classical setting of hyperbolic dynamics, driven by the realization that many practical applications of dynamical systems to experimental phenomena do require a much broader theory.The whole subject went through particularly remarkable progress over the last decade or so, to become one of the most active research areas in dynamics nowadays, as certified by its strong presence in scientific meetings around the globe and, in particular, in the program of the last International Congresses of Mathematicians.

该研讨会旨在汇集来自世界各地对部分双曲动力系统和相关主题直接感兴趣的研究人员社区。它可以被视为 2001 年 5 月在西北大学举行的国际会议的后续行动，并且正在认真考虑将其转变为定期系列会议的可能性，下一届会议将于 2005 年在法国第戎举行。 2003 年研讨会由巴西三个最好的数学研究中心 IMPA、天主教大学和里约热内卢联邦大学组织，将有大约 80 名数学家参加，其中大约一半是研究生或最近的博士学位。 NSF 的支持加上组织者的支持，使得美国有 20 多名研究生以及年轻和资深数学家的大量参与成为可能。部分双曲性主题出现在七十年代初期，作为该理论的一个主要方向。复杂（“混沌”）动力系统的研究已经发展并远远超出了双曲动力学的经典设置，这是由于认识到动力系统在实验现象中的许多实际应用确实需要更广泛的理论。整个主题经历了特别的过程取得了显着进展在过去十年左右的时间里，它成为当今动力学最活跃的研究领域之一，这一点可以从它在全球科学会议，特别是最近一届国际数学家大会的议程中的强势表现中得到证明。