2 problems

Let $\mathcal{G}_{{\mathring{z}},{\dot{z}}}$ be the set of Gibbs measures on the admissible configuration space for activities ${\mathring{z}},{\dot{z}}>0$, as defined by the hard-…

Let the hard-sphere model or hard-core model be at density $\alpha$. The hard-sphere model consists of nonoverlapping spheres, while the hard-core model consists of particles occup…