Coexistence of infinite clusters in percolation and the Ising model

报告人：姜建平 教授

报告题目：Coexistence of infinite clusters in percolation and the Ising model

报告时间：2026年10月24日（周六）上午9：00

报告地点：云龙校区智华楼201报告厅

主办单位：数学与统计学院、数学研究院、科学技术研究院

报告人简介：

姜建平，清华大学丘成桐数学科学中心助理教授，研究兴趣是概率论和统计物理，包括伊辛模型、渗流等。

报告摘要：

For bond percolation on Z^d, d>=9, we show that the complement of the infinite open cluster stochastically dominates a supercritical site percolation when the parameter is sufficiently close to the criticality. For the Ising model on Z^d, d>=8, we establish coexistence of infinite clusters of both signs in the minus phase throughout the high-temperature regime and slightly below the critical temperature. Based on joint work with Sike Lang.