University of Maryland Spring Dynamics Conference

马里兰大学春季动力学会议

• 批准号: 0600296
• 负责人: Michael Boyle
• 金额: $ 2.4万
• 依托单位: University of Maryland, College Park
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2006
• 资助国家: 美国
• 起止时间: 2006-04-01 至 2010-03-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0600296&HistoricalAwards=false
• 关键词: University; Maryland; Spring; Dynamics; Conference

Abstract for NSF Proposal DMS-0600296This award continues the partial (but essential) support of NSF for the spring meeting at Maryland of the Semi-annual Workshop in Dynamical Systems and Related Topics, cosponsored since 1992 by the dynamics groups in the mathematics departments of Maryland and Penn State. (The fall meeting is held at Penn State.) The conference covers a broad range of topics in dynamical systems, with a particular (but not exclusive) area of emphasis in most meetings. The goals of this conference are to promote the communication of mathematical results; to facilitate interaction and progress in dynamical systems and related fields; to nurture the sense of community and common mission in these fields; and to contribute to the training of graduate students and recent Ph.D. recipients and to their integration into the dynamics community. In particular, in the middle of the conference there are typically 3 to 8 short talks by graduate students with good results.Over the years the conference has enjoyed the participation of many prominent mathematicians, as well as (we see now) future leaders. History of past programs can be found at the conference websitewww.math.umd.edu/research/dynamics/conferences .The field of dynamical systems, roughly speaking, studies the way in which systems change over time: especially, how typical points of a system behave over time, and when properties of interest in a system are stable under perturbation of the system. Because so many mathematical structures can be considered in terms of how they change over time, dynamical systems uses a broad range of mathematical disciplines (including differential equations, functional analysis, geometry, probability theory and many others). Conversely, the dynamical approach has contributed significantly to progress in some of these fields, at a deep and nontrivial level. A recent example -- in number theory! -- is the dynamical influence on the work of Green and Tao which showed that the prime numbers contain arbitrarily long arithmetic progressions. In addition, various practical problems are fruitfully studied from the viewpoint of dynamical systems, including current applications in weather forecasting and the computation of orbits of space "voyagers". In recent years "chaos theory", a part of dynamical systems, has had an impact on scientific practice. Jim Yorke, a member of the Maryland dynamics group, shared the 2003 Japan Prize (with Benoit Mandelbrot) for his contributions in this area. This $400,000 prize is among the world's most prestigious scientific awards.

NSF提案DMS-0600296该奖项继续为自1992年以来由马里兰和宾夕法尼亚州立大学数学系的动力学小组共同主办的在马里兰举行的动力系统及相关主题半年度研讨会春季会议提供部分(但必要的)支持。(秋季会议在宾夕法尼亚州立大学举行。)会议涵盖了动力系统的广泛主题，在大多数会议中都有一个特别(但不是排他性的)重点领域。这次会议的目标是促进数学成果的交流；促进动力系统和相关领域的互动和进步；培养这些领域的共同体意识和共同使命感；并为培养研究生和新近获得博士学位的人以及他们融入动力学社区做出贡献。特别是在会议中间，通常会有3到8次研究生的简短演讲，效果很好。多年来，许多杰出的数学家以及(我们现在看到的)未来的领导人都参加了会议。过去项目的历史可以在websitewww.math.umd.edu/research/dynamics/conferences会议上找到。动力系统领域，粗略地说，研究系统随时间变化的方式：特别是系统的典型点如何随时间变化，以及系统中感兴趣的性质在系统扰动下何时保持稳定。由于许多数学结构可以根据它们如何随时间变化来考虑，动力系统使用了广泛的数学学科(包括微分方程、泛函分析、几何、概率论和许多其他学科)。相反，动力学方法在深层次和非平凡的层面上对其中一些领域的进步作出了重大贡献。最近的一个例子--在数论中--是对格林和陶工作的动力学影响，这表明素数包含任意长的算术级数。此外，还从动力系统的角度对各种实际问题进行了卓有成效的研究，包括目前在天气预报和空间“旅行者”轨道计算中的应用。近年来，“混沌理论”作为动力系统的一部分，对科学实践产生了影响。吉姆·约克是马里兰动力小组的成员，他与伯努瓦·曼德尔布洛特分享了2003年的日本奖，以表彰他在这一领域的贡献。这个40万美元的奖项是世界上最负盛名的科学奖项之一。