论文标题
带有阈值在树上的随机燃烧模型
A stochastic combustion model with thresholds on trees
论文作者
论文摘要
将一个活动粒子放在图形的根部，并在其他顶点放置泊松数量的休眠粒子。活动粒子执行简单的随机步行。一旦到达站点的访问次数达到一个随机阈值，那里的任何休眠颗粒就会变得活跃。对于无限$ d $ are树上的此过程，我们表明总的根访问经历了相位过渡。
Place one active particle at the root of a graph and a Poisson-distributed number of dormant particles at the other vertices. Active particles perform simple random walk. Once the number of visits to a site reaches a random threshold, any dormant particles there become active. For this process on infinite $d$-ary trees, we show that total root visits undergoes a phase transition.
