Extension of structural results in ergodic theory to uncountable group actions and combinatorial applications

将遍历理论中的结构结果扩展到不可数的群行为和组合应用

• 批准号: 412995396
• 负责人: Professor Dr. Asgar Jamneshan
• 金额: --
• 依托单位: Department of Mathematics
• 依托单位国家: 德国
• 项目类别: Research Fellowships
• 财政年份: 2018
• 资助国家: 德国
• 起止时间: 2017-12-31 至 2018-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/412995396?language=en
• 关键词: Extension; structural; results; ergodic; theory

Ergodic Ramsey theory investigates potential applications of recurrence properties of dynamical systems to arithmetical and combinatorial properties of numbers. The principal aim of this research proposal is to study extensions of results in ergodic theory and their combinatorial applications in large groups.

遍历Ramsey理论研究了动力系统的递归性质在数的算术和组合性质中的潜在应用。本研究方案的主要目的是研究遍历理论中结果的推广及其在大群中的组合应用。