Properties of marked Gibbs measures in high temperature regime (Q2777861)

The author considers the marked Gibbs measures for systems of continuous classical statistical mechanics on connected non-compact geodesically complete Riemannian manifolds. This generalization is motivated both by examples from statistical physics (the mark space describes internal degrees of freedom like spin or type of particles) and by applications to representations of groups of diffeomorphisms. The author constructs correlation functionals corresponding to marked Gibbs measures for integrable and stable potentials in the high temperature and low fugacity regime. The method of cluster expansion and the contraction property of the Kirkwood-Salsburg operator are used.