Transcendental Dynamics: Hausdorff Dimension and Itineraries

当我年轻的时候，我总是对一些问题感兴趣，比如你被要求在棋盘上安排皇后，这样皇后就不能带走其他任何一个。在我上六年级的时候，我听说了一种与这个主题相关的数学研究。游戏理论。这门课程听起来很理想，因为它研究了我一直喜欢研究的更深入的问题和想法。当我听说博弈论是我大学的第三门课程时，我很兴奋。这是一个非常棒的模块，教会了我很多有用的想法。我最喜欢的是研究游戏《Nim》。这个模块也让我考虑到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的下一步，因为它将允许我更好地解释我对这一主题的知识。此外，让我完成高水平的独立工作在一个领域，我喜欢以前的研究。

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.