Transcendental Dynamics: Hausdorff Dimension and Itineraries

超越动力学：豪斯多夫维度和行程

• 批准号: 2885593
• 金额: --
• 依托单位: The Open University
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2023
• 资助国家: 英国
• 起止时间: 2023 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2885593
• 关键词: Transcendental; Dynamics; Hausdorff; Dimension; Itineraries

When i was younger, i was always interested in problems such as those where you are required to arrange queens on a chess board such that no queen can take any of the others. During my time in sixth form, i heard about a type of mathematical study relating to this topic. Game theory. This course sounded ideal as it studies more in-depth problems and ideas that i have always loved working with. When i heard about game theory being a 3rd module at my university, i was excited. This was a brilliant module, teaching me many useful ideas. One of my favourites being the study of the game Nim. This module also led me to consider what more i might be able to do with Game theory going forward into life. This project feels like the ideal next step for my love of the Game Theory, as it will allow me to expland my knowledge of the subject even greater. Additionally allowing me to complete high level independent work in a field that i have enjoyed studying before.

当我年轻的时候，我总是对一些问题感兴趣，比如那些需要在棋盘上排列皇后，使得没有皇后可以占据其他任何皇后的问题。在我读六年级期间，我听说了与该主题相关的一种数学研究。博弈论。这门课程听起来很理想，因为它研究了我一直喜欢处理的更深入的问题和想法。当我听说博弈论是我大学的第三个模块时，我很兴奋。这是一个精彩的模块，教会了我许多有用的想法。我最喜欢的研究之一是对 Nim 游戏的研究。这个模块还让我思考我可以用博弈论在生活中做更多的事情。这个项目感觉像是我对博弈论的热爱的理想下一步，因为它将使我能够更好地扩展我对该主题的知识。此外，我还可以在我以前喜欢学习的领域完成高水平的独立工作。