关于Jorge Lewowicz关于扩张系统的工作
On the work of Jorge Lewowicz on expansive systems
摘要：
我们将尝试给一个概述的一个里程碑式的结果豪尔赫Lewowicz：他的分类膨胀同胚的表面。我们的目标将是提出的主要思想，希望给证据的深刻和美丽的贡献，他所作的动力系统。我们将避免被技术，并试图集中在Lewowicz介绍的工具，以获得这些分类结果，如李雅普诺夫函数和持久性的概念，动力系统。主要的贡献，我们将试图集中在他的概念框架和方法，以数学反映了前面提到的工具，并从根本上微妙的相互作用之间的拓扑结构和动态膨胀同胚的表面，他发现，以建立他的结果。
英文摘要：
We will try to give an overview of one of the landmark results of Jorge Lewowicz: his classification of expansive homeomorphisms of surfaces. The goal will be to present the main ideas with the hope of giving evidence of the deep and beautiful contributions he made to dynamical systems. We will avoid being technical and try to concentrate on the tools introduced by Lewowicz to obtain these classification results such as Lyapunov functions and the concept of persistence for dynamical systems. The main contribution that we will try to focus on is his conceptual framework and approach to mathematics reflected by the previously mentioned tools and fundamentally by the delicate interaction between topology and dynamics of expansive homeomorphisms of surfaces he discovered in order to establish his result.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
