4 papers
Coupling between Brownian motion and random walks on the infinite percolation cluster
Chenlin Gu, Zhonggen Su, Ruizhe Xu
For the supercritical Bernoulli bond percolation on (), we give a coupling between the random walk on the infinite cluster and its limit Brownian motion, s…
Size distribution of clusters in site-percolation on random recursive tree
Chenlin Gu, Linglong Yuan
We prove rigorously several results about the site-percolation on random recursive trees, observed in the previous work by Kalay and Ben-Naim [J. Phys. A48(2015), no.4, 0405001, 15…
Speed of random walk on dynamical percolation in nonamenable transitive graphs
Chenlin Gu, Jianping Jiang, Yuval Peres +3
Let be a nonamenable transitive unimodular graph. In dynamical percolation, every edge in refreshes its status at rate , and following the refresh, each edge is open i…
Random walk on dynamical percolation in Euclidean lattices: separating critical and supercritical regimes
Chenlin Gu, Jianping Jiang, Yuval Peres +3
We study the random walk on dynamical percolation of (resp., the two-dimensional triangular lattice ), where each edge (resp., each site) can be either…