Mathematical Sciences: Factor Maps Between Sofic Systems

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 主要涉及有限型移位之间的因子映射。 这些映射是连续的满射移位交换映射。 他们 是信息论中的滑动块码 特罗教授 他对这些地图的存在感兴趣， 可能的程度。 这些问题与 有限型移位的拓扑共轭，中心问题 象征性的动力学。 符号动力学的研究对象是集合（称为 符号空间），其元素是符号的双无限序列， 以及移位映射。 这些空间是自然的模型， 一大类动力系统。 它们对我们的 遍历理论家和信息与编码专家。

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. These 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 a 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.