3 papers
math.PR2026
Ising model and percolation: from hexagonal lattice to 3-12 lattice
Junyu Mou, Hao Wu
In this survey, we extend the conformal invariance of the Ising model and of the percolation from the hexagonal lattice to the 3-12 lattice.
math.PR2024
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…
math.PR2024
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…