Conference on Robustness and Partial Hyperbolicity

讲习班的目的是将来自世界各地的研究人员聚集在一起，他们直接对部分双曲动力系统的主题和相关主题感兴趣。它可以被认为是2001年5月在西北大学举行的国际会议的后续行动，正在认真考虑将其转变为定期系列会议的可能性，下一次会议将于2005年在法国第戎举行。2003年研讨会由三个巴西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新近毕业的博士。NSF的支持，加上组织者的支持，使美国有20多名研究生和年轻和高级数学家参加成为可能。部分双曲性主题出现在70年代初，作为复杂(混沌)动力系统理论发展和扩展的一个主要方向，远远超出了双曲动力学的经典背景，这是因为人们意识到，动力系统对实验现象的许多实际应用确实需要更广泛的理论。整个学科在过去10年左右经历了特别显著的进展，成为当今动力学中最活跃的研究领域之一。它在世界各地的科学会议上的强大存在证明了这一点，特别是在上届国际数学家大会的计划中。

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.