论文标题
Cox渗透的尖锐相变
Sharp phase transition for Cox percolation
论文作者
论文摘要
我们证明了一类Cox渗透模型的渗透相变的清晰度，即在随机环境中的连续渗透模型。关键要求是环境具有有限的依赖范围并满足局部界限条件，但是FKG不平等不需要。证明将OSS不等式与粗粒结合结合在一起。
We prove the sharpness of the percolation phase transition for a class of Cox percolation models, i.e., models of continuum percolation in a random environment. The key requirements are that the environment has a finite range of dependence and satisfies a local boundedness condition, however the FKG inequality need not hold. The proof combines the OSSS inequality with a coarse-graining construction.
