Mathematical Sciences: NSF/CBMS Regional Conference in the Mathematical Sciences - Number Theory and Dynamical Systems;June 1-5, 1992

据了解，在某些人之间存在联系。 丢番图近似问题和力学问题。 例如，小行星轨道具有一定的合理周期， 木星的轨道在小行星带中消失了， 其他人在场。 这种联系既出现在哈密尔顿 系统和耗散系统中的“锁模”现象。 在过去的几年里，这些联系越来越多， 使用重正化方案研究各种路线 到混乱 在数论方面，“算术分形”与 最近已经构建了精确的自相似性特性。 此外，丢番图近似在一个和几个 可以使用动力系统来研究维度。 该项目将支持NSF-CBMS区域研究 数学科学数论会议 动力系统会议将于1992年6月1-5日在加州州举行 弗雷斯诺大学。 AT T Bell的Jeffrey Lagarias博士 实验室将是主要讲师。 刺激 兴趣和活动在数学研究，国家 科学基金会每年支持一些NSF-CBMS 数学科学区域研究会议。 每个 为期五天的会议有一位杰出的讲师， 提供了十个讲座的重要当前研究的主题， 数学科学中一个非常重要的领域 的 讲师随后根据以下内容编写了一本简要的专著 这些讲座通常由美国人出版 数学学会或工业与应用数学学会 数学，或由美国统计协会联合 和数理统计研究所。 某些特征 将这些会议与典型的研究区分开来 两会 （1）注重一个重要的、 由一位领先的从业者进行及时的研究领域，（2）续 （3）小组讨论 审查质量、广度和及时性，以及（4）出版 面向更广泛受众的专著。

It is known that there are connections between certain problems in diophantine approximation and problems in mechanics. For example, asteroid orbits having certain rational periods of the orbit of Jupiter are missing in the asteroid belt, while others are present. Such connections occur both in Hamiltonian systems and in "mode-locking" phenomena in dissipative systems. In the last few years these connections have been made more precise using renormalization schemes for studying various routes to chaos. On the number theory side, "arithmetic fractals" with exact self-similarity properties have recently been constructed. In addition, diophantine approximations in both one and several dimensions can be studied using dynamical systems. This project will support an NSF-CBMS Regional Research Conference in the Mathematical Sciences on Number Theory and Dynamical Systems to be held June 1-5, 1992 at California State University, Fresno. Dr. Jeffrey Lagarias of AT&T Bell Laboratories will be the principal lecturer. To stimulate interest and activity in mathematical research, the National Science Foundation each year supports a number of NSF-CBMS Regional Research Conferences in the Mathematical Sciences. Each five-day conference features a distinguished lecturer who delivers ten lectures on a topic of important current research in one sharply focused area of the mathematical sciences. The lecturer subsequently prepares an expository monograph based upon these lectures, which is normally published by the American Mathematical Society or the Society for Industrial and Applied Mathematics, or jointly by the American Statistical Association and the Institute of Mathematical Statistics. Certain features differentiate these conferences from typical research conferences. These are: (1) Focus on a single important and timely area of research by a leading practitioner, (2) Continued effect and local stimulation through regional emphasis, (3) Panel review for quality, breadth, and timeliness, and (4) Published monographs for a wider audience.