Random walk on dynamical percolation in Euclidean lattices
Prof. Chenlin Gu
2024-12-13 10:30-11:30
MCM510
Speaker: Prof. Chenlin Gu (Tsinghua Univ)
Time: 10:30-11:30 December 13, 2024 (Friday)
Venue: MCM510
Title: Random walk on dynamical percolation in Euclidean lattices
Abstract: We study the random walk on dynamical percolation of Zd, where each edge can be either open or closed, refreshing its status at rate μ > 0. The random walk moves at rate 1 and can only cross the open edges. We prove a separation when μ <<1 between the supercritical regime and the critical point: For the supercritical regime p>pc, the diffusivity constant has a lower bound independent of μ. In the critical regime p=pc, we prove its polynomial upper bound for d=2, d≥11. This talk is based on a joint work with Jianping Jiang, Yuval Peres, Zhan Shi, Hao Wu, Fan Yang.
