The research project lies at the interface of mathematical analysis and geometry. I

该研究项目位于数学分析和几何的交叉点。

• 批准号: 2876004
• 金额: --
• 依托单位: University of Kent
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2022
• 资助国家: 英国
• 起止时间: 2022 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2876004
• 关键词: research; project; lies; interface; mathematical

ATAS: The research project lies at the interface of mathematical analysis and geometry. It focusses on horo-function compactifications of metric spaces and some of their applications in dynamical systems and fixed point theory. A key objective is to determine the horo-function compactification of various classes of metric spaces and understanding their global topology. A second objective is to use the knowledge of the horo-funirctions to derive Denjoy-Wolff type theorems concerning the dynamics of fixed point free non expansive mappings.

ATAS：这个研究项目是数学分析和几何的结合。重点讨论度量空间的全息函数紧化及其在动力系统和不动点理论中的一些应用。一个关键的目标是确定各种度量空间的全息函数紧化和理解它们的全局拓扑。第二个目标是利用坐标函数的知识来推导关于不动点自由非膨胀映射动力学的Denjoy-Wolff型定理。