Finitary codings for the random-cluster model and other infinite-range monotone models

Matan Harel, Yinon Spinka

A random field $X=(X_v{)}_{v\in G}$ on a quasi-transitive graph $G$ is a factor of i.i.d. if it can be written as $X=\phi (Y)$ for some i.i.d. process $Y=(Y_v{)}_{v\in G}$ and equivar…