Cutoff with an $O(1)$ window for Potts Glauber Dynamics on lattice at High Temperature

Seoyeon Yang, Allan Sly

We prove cutoff with an $O(1)$ window for the continuous-time heat-bath Glauber dynamics of the ferromagnetic $q$-state Potts model on the discrete torus $Λ_n=(\mathbb Z/n\mathbb Z…