Classifying dynamical systems by their recurrence properties
Classifying dynamical systems by their recurrence properties
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DOI：
10.12775/tmna.2004.018
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发表时间：
2004-09
影响因子：
0.7
通讯作者：
E. Glasner
中科院分区：
文献类型：
--
作者：
E. Glasner
在1967年关于拓扑动力学和遍历理论中的不相交性的开创性论文中，H. 弗斯滕伯格开始了对传递动力系统的系统研究。近年来，这项工作成为根据动力系统的回归性质对其进行广泛分类的基础。在本文中，我描述了这一新理论的一些方面以及它与组合数学、调和分析和拓扑群理论的联系。
In his seminal paper of 1967 on disjointness in topological dynamics and ergodic theory H. Furstenberg started a systematic study of transitive dynamical systems. In recent years this work served as a basis for a broad classification of dynamical systems by their recurrence properties. In this paper I describe some aspects of this new theory and its connections with combinatorics, harmonic analysis and the theory of topological groups.