Generalized statistics of macroscopic fields

We define the notion of generalized statistics and give some examples. In particular, we consider the relationsa_ia_j^* -q_ija_j^*a_i =_ij for - 1 q_ij =q_ji + 1 and we prove the existence of a Fock space representation of these relations.This work has been supported by the Deutsche Forschungsgemeinschaft (SFB 123).