Mathematical Sciences: Factor Maps Between Shifts Of Finite Type

特罗教授将在象征性领域进行研究 动力学是动力系统的一个分支。 他的研究将是 主要涉及有限移位之间的因子映射 类型. 因子映射是连续的、满射的、移位交换的 地图 它们是信息论中的滑块码。 特罗教授感兴趣的是 这些地图以及它们可能的度数 这些问题都是 与有限移位的拓扑共轭密切相关 类型，符号动力学的中心问题。 符号动力学的研究对象是集合（称为 符号空间），其元素是双无限序列， 符号，以及移位映射。 这些空间是自然的 一大类动力系统的模型。 它们具有 遍历理论家对信息和编码 专家

Professor Trow will conduct research in the area of symbolic dynamics, a branch of dynamical systems. His research will be primarily concerned with factor maps between shifts of finite type. Factor maps are continuous, surjective, shift commuting maps. They are the sliding-block codes of information theory. Professor Trow is interested in the question of existence of these maps, and their possible degrees. These questions are closely related to topological conjugacy of shifts of finite type, the central problem of symbolic dynamics. The objects of study in symbolic dynamics are sets (called symbol spaces) whose elements are bi-infinite sequences of symbols, together with the shift map. These spaces are natural models for a large class of dynamical systems. They are of great interest to ergodic theorists and information and coding experts.