Locality of critical parameters for percolation
主 题: Locality of critical parameters for percolation
报告人: 宋贺 (南开大学)
时 间: 2014-12-29 15:00-16:00
地 点: 理科一号楼1418（概率论系列报告）
Let G_n be a sequence of transitive infinite connected graphs with \sup_nP_c(G_n); where each P_c(G_n) is bond percolation critical probability on G_n: Schramm (2008) conjectured that if G_n converges locally to a transitive infinite connected graph G, then P_c(G_n)\rightarrow P_c(G). In this talk, I will introduce and discuss the locality of percolation critical probability. And we prove the conjecture when satisfies two rough uniformities, and G_n is uniformly nonamenable.
This is joint work with Xiang Kai-Nan and Zhu Song-Chao-Hao.