Mathematical Sciences: Workshop on Ergodic Theory and Symbolic Dynamics, June 19 - July 14, 1989; Seattle, Washington

该项目将支持将于1989年6月19日至7月14日在华盛顿大学由道格拉斯·林德教授指导的遍历理论和符号动力学研讨会。研讨会将侧重于遍历理论和符号动力学的最新发展，并将包括限制轨道等价和联接理论，作为可测遍历理论的统一主题，某些群的可测和代数作用，符号动力学在数据传输和存储以及非负矩阵谱中的应用，以及与符号系统的复杂解析动力学和自同构相关的工作。遍历理论起源于统计和天体力学，此后在许多方向发展，从李群和数论等不同学科汲取力量，同时对许多其他数学学科做出贡献。在遍历理论和符号动力学之间已经发现了许多相互作用。

This project will support the Workshop on Ergodic Theory and Symbolic Dynamics to be held from June 19 to July 14, 1989 at the University of Washington under the direction of Professor Douglas Lind. The workshop will focus on recent developments in ergodic theory and symbolic dynamics and will include the theories of restricted orbit equivalence and joinings as unifying themes in measurable ergodic theory, measurable and algebraic actions of certain groups, applications of symbolic dynamics to data transmission and storage and to the spectra of nonnegative matrices, and work relating complex analytic dynamics and automorphisms of symbolic systems. Ergodic theory has its origins in statistical and celestial mechanics and has since grown in many directions, drawing strength from subjects as diverse as Lie groups and number theory, while contributing to many other mathematical disciplines. There have been many interactions discovered between ergodic theory and symbolic dynamics.