论文标题
Cox点过程的连续渗透的布尔模型的相变
Phase transitions for the Boolean model of continuum percolation for Cox point processes
论文作者
论文摘要
我们根据COX点过程考虑带有随机半径的布尔模型。在随机环境的稳定条件下，我们在量，直径和点数方面建立了群集大小的亚临界方案的存在和不存在。此外，我们证明了无限簇的独特性，以实现足够连接的环境。
We consider the Boolean model with random radii based on Cox point processes. Under a condition of stabilization for the random environment, we establish existence and non-existence of subcritical regimes for the size of the cluster at the origin in terms of volume, diameter and number of points. Further, we prove uniqueness of the infinite cluster for sufficiently connected environments.
