Polynomial Mixing of the critical Glauber Dynamics for the Ising Model

Kyprianos-Iason Prodromidis, Allan Sly

In this note, we prove that on any graph of maximal degree $d$ the mixing time of the Glauber Dynamics for the Ising Model at ${\beta }_c={\tanh }^{-1}(\frac{1}{d-1})$, the uniqueness threshol…