5 problems

Lifshitz's law. The mixing time $T_{\rm mix}$ should be of order $L^2$. This conjecture predicts diffusive scaling for the time required by the zero-temperature stochastic Ising dy…

Let $\sigma^t$ be the spin configuration at time $t$, and let $\mathcal C_L$ denote the event that the configuration restricted to the specified box of scale $L$ is constant, eithe…

Consider the homogeneous ferromagnetic zero-temperature stochastic Ising model in dimension two, with spins taking values in $\\{+1,-1\\}$ and with domain walls separating clusters…

Let $\mu$ be any subsequential limit of the distributions $\mu^t$ of the spin configuration $\sigma^t$, let $R_*(t)$ denote the relevant domain-wall length scale, and call a set of…

Let $\beta > \beta_c$ and consider the infinite-volume Glauber dynamics for the two-dimensional Ising model on $\mathbb Z^2$, started from the plus phase. Let the time auto-correla…