Rims - 1681

We prepare a general set-up of random point fields and introduce a densely defined operator T on the Fock space. Then, we will give a simple construction of the so-called Fock isomorphism associated with Poisson measures, an explicit formula between correlation functions and local density functions, and some applications to fermion(determinantal) and other processes. Furthermore, we will give the characterization of Gibbs measures by their Palm measures.