4 papers
The free state for the Potts model on Cayley trees is either extremal or glassy
Jianping Jiang, Sike Lang
For the Potts model on the Cayley tree with branching factor , we consider the free state which is obtained as the limiting Gibbs measure with free boundary…
Percolation of both signs in a triangular-type 3D Ising model above
Jianping Jiang, Sike Lang
Let be the two-dimensional triangular lattice, and the one-dimensional integer lattice. Let denote the Cartesian product gra…
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…