Mathematics

General targets: acquire basic knowledge on a rigorous approach to statistical equilibrium mechanics. Applying knowledge and understanding: knowledge of statistical ensembles, Gibbs measures and thermodynamic functionals; understanding of phase transitions for paradigmatic lattice particle models. Making judgements: ability to describe mechanical and thermodynamic behavior of large systems of particles. Communication skills: ability to identify the main points of the theory, to be able to illustrate the most interesting elements by using appropriate examples, and to discuss the mathematic details for simple models. Learning skills: the acquired knowledge will allow to face advanced studies, i.e. at PhD level, related to equilibrium and non-equilibrium statistical mechanics, and to use the basic tools of statistical mechanics in other contexts.