你可以跑，你可以隐藏：僵尸的流行病学和统计力学
You Can Run, You Can Hide: The Epidemiology and Statistical Mechanics of Zombies
摘要：
我们使用一种流行的虚构疾病，僵尸，以介绍现代流行病学建模中使用的技术，以及关键现象的数值研究中使用的思想和技术。我们考虑僵尸模型的变体，从完全连接的连续时间动态到美国大陆僵尸爆发的全尺度精确随机动态模拟。一路上，我们提供了一个封闭形式的解析表达式的全连接微分方程，并证明，每个站点的二维正方形格子版本的僵尸的单人位于渗流普适类。最后，我们对美国大规模疫情进行了定量研究，包括不同地理区域的平均易感性。
英文摘要：
We use a popular fictional disease, zombies, in order to introduce techniques used in modern epidemiology modelling, and ideas and techniques used in the numerical study of critical phenomena. We consider variants of zombie models, from fully connected continuous time dynamics to a full scale exact stochastic dynamic simulation of a zombie outbreak on the continental United States. Along the way, we offer a closed form analytical expression for the fully connected differential equation, and demonstrate that the single person per site two dimensional square lattice version of zombies lies in the percolation universality class. We end with a quantitative study of the full scale US outbreak, including the average susceptibility of different geographical regions.
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。
