Conference on Robustness and Partial Hyperbolicity

研讨会旨在汇集来自世界各地对部分双曲动力系统及其相关主题直接感兴趣的研究人员。它可被视为2001年5月在西北大学举行的国际会议的后续行动，目前正在认真考虑将其变成一个定期系列，并于2005年在法国第戎举行下一届会议的可能性。2003年的研讨会是由巴西最好的三个数学研究中心，即IMPA、天主教大学和里约热内卢联邦大学组织的，将有大约80名数学家参加，其中大约一半是研究生或新近获得博士学位的人。美国国家科学基金会的支持，加上组织者的支持，使得美国有20多名研究生和年轻和高级数学家的大量参与成为可能。部分双曲性的主题出现在七十年代早期，是复杂（“混沌”）动力系统理论的一个主要方向，它已经发展和扩展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。在过去十年左右的时间里，整个学科经历了特别显著的进步，成为当今动力学中最活跃的研究领域之一，这一点从它在全球科学会议上的强大存在，特别是在上届国际数学家大会的计划中得到了证明。

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.