This course deals with advanced statistical physics topics and techniques. Most of the themes treated are subjects of current research. For example, I revisit the conditions under which Gibbs-Boltzmann equilibrium establishes, or the impossibility of reaching equilibrium due to conservation laws, long-range interactions, frustration or quenched disorder. In all these cases I present alternatives to Gibbs-Boltzmann equilibrium and the special features brought about in static descriptions of some concrete problems.

(will be given later)