论文标题
与规定的关键率的接触过程的图形结构
Graph constructions for the contact process with a prescribed critical rate
论文作者
论文摘要
我们构建了触点过程的图表（有界程度的树）的关键速率（对于全球和局部生存对于零和$λ_c（\ Mathbb {Z}）$等于任何规定的值，这是一维接触过程的关键率。我们展示了这两个图表，其中该目标临界值的过程（本地）和图形在全球范围内的图表都存活（本地）。
We construct graphs (trees of bounded degree) on which the contact process has critical rate (which will be the same for both global and local survival) equal to any prescribed value between zero and $λ_c(\mathbb{Z})$, the critical rate of the one-dimensional contact process. We exhibit both graphs in which the process at this target critical value survives (locally) and graphs where it dies out (globally).
