Coarsening dynamics on ${\mathbb{Z}}^d$ with frozen vertices

Michael Damron, Sinziana M. Eckner, Hana Kogan +2

We study Markov processes in which $\pm 1$-valued random variables ${\sigma }_x(t),x\in {\mathbb{Z}}^d$, update by taking the value of a majority of their nearest neighbors or else tossing…