足球比赛中的控球动力学建模
Modeling ball possession dynamics in the game of football
摘要：
在本文中，我们研究的互动动力学的足球比赛中的背景下，足球控球时间。要做到这一点，我们分析了一个数据库，其中包括一个赛季的欧洲五大足球联赛。使用这个输入，我们开发了一个基于三个代理的随机模型：两个队友和一个后卫。尽管它的简单性，该模型是能够捕捉，在良好的近似，统计行为的占有时间，通过长度，并通过执行的数量。在最后一节中，我们证明了该模型的动力学可以映射到一个维纳过程的漂移和吸收障碍。
英文摘要：
In this paper, we study interaction dynamics in the game of football-soccer in the context of ball possession intervals. To do so, we analyze a database comprising one season of the five major football leagues of Europe. Using this input, we developed a stochastic model based on three agents: two teammates and one defender. Despite its simplicity, the model is able to capture, in good approximation, the statistical behavior of possession times, pass lengths, and number of passes performed. In the last section, we show that the model's dynamics can be mapped into a Wiener process with drift and an absorbing barrier.
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。
