Minimizing Measures in Shiftspaces

We want to study invariant probability measures on a $Z^d$ Shiftspace which minimize the integral of a real valued (energy-)function $\psi$. We will employ an approach developed by Gerhard Keller, which crucially uses minimizing configurations. Keller's work will be generalized by developing a spezialized function space of $\psi$s which admit to be treated with Keller's approach.