论文标题
带有新兴领土的随机步行模型的大偏差
Large deviations of a random walk model with emerging territories
论文作者
论文摘要
我们研究了一个基于代理的动物模型，该模型标记了它们的领土并在一个维度上逃避对抗区域，相对于所产生区域的大小的分布。特别是，我们使用复杂的采样方法在很大一部分区域大小上确定它，包括非典型和大型配置，这些概率小于$ 10^{-30} $。我们发现了大偏差原理有效性的提示，分布的右尾部的速率函数的形状以及对非典型实现结构的见解。
We study an agent-based model of animals marking their territory and evading adversarial territory in one dimension, with respect to the distribution of the size of the resulting territories. In particular, we use sophisticated sampling methods to determine it over a large part of territory sizes, including atypically small and large configurations, which occur with probability of less than $10^{-30}$. We find hints for the validity of a large deviation principle, the shape of the rate function for the right tail of the distribution and insight into the structure of atypical realizations.
