论文标题
birds
Birds on a Wire
论文作者
论文摘要
我们研究了在电线上和高维底物上的鸟类的占用统计数据。在一个维度上，鸟类一一降落在电线上，休息它们登陆的地方。每当一只新来的鸟降落在已经休息的鸟的固定距离内时，这些休息的鸟就会立即飞走。我们确定电线的稳态占用率，相邻鸟类之间的间隙的分布以及该过程的其他基本统计特征。我们讨论了较高维度中相应可观察物的猜想。
We investigate the occupancy statistics of birds on a wire and on higher-dimensional substrates. In one dimension, birds land one by one on a wire and rest where they land. Whenever a newly arriving bird lands within a fixed distance of already resting birds, these resting birds immediately fly away. We determine the steady-state occupancy of the wire, the distribution of gaps between neighboring birds, and other basic statistical features of this process. We discuss conjectures for corresponding observables in higher dimensions.
