论文标题
在足球比赛中对球拥有动态
Modeling ball possession dynamics in the game of football
论文作者
论文摘要
在本文中，我们在拥有球间隔的背景下研究足球比赛中的互动动态。为此，我们分析了一个数据库，其中包括欧洲五个主要足球联赛的一个赛季。使用此输入，我们开发了一个基于三个代理的随机模型：两个队友和一个防守者。尽管它很简单，但该模型还是能够以良好的近似值捕获拥有时间的统计行为，传递长度和执行的通过数量。在最后一部分中，我们表明该模型的动态可以映射到Wiener过程中，并具有漂移和吸收障碍。
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.
