2 problems

Let $(\eta_t)_{t\geq0}$ be median dynamics and, for an initial density $p\in[0,1]$, let $(\xi_t^p)_{t\geq0}$ be the coupled majority-dynamics process. Say that majority dynamics fi…

Let $(\xi_t)_{t\geq 0}$ be zero-temperature Glauber dynamics on $\mathbb{Z}^d$, and define … Here $\tilde{p}_c(d)$ is the threshold for fixation at opinion $1$. Fixation-threshold…