  The Gibbs point processes (GPP) constitute a large class of point processes
with interaction between the points. The interaction can be attractive,
repulsive, depending on geometrical features whereas the null interaction is
associated to the so-called Poisson point process. In a first part of this
mini-course, we present several aspects of finite volume GPP defined on a
bounded window in Rd. In a second part, we introduce the more complicated
formalism of infinite volume GPP defined on the full space Rd. Existence,
uniqueness and non-uniqueness of GPP are non-trivial questions which we treat
here with completely self-contained proofs. The DLR equations, the GNZ
equations and the variational principle are presented as well. Finally, in a
last part, we investigate the estimation of parameters. The main standard
estimators (MLE, MPLE, Takac-Fiksel and variational estimators) are presented
and we prove their consistency. For sake of simplicity, during all the
mini-course, we consider only the case of finite range interaction and the
setting of marked points is not presented.
