Abstract: For a given ergodic measure preserving transformation T of a standard measure 
space (X, \mathcal{B}, \mu) each finite labelled partition defines an ergodic stationary process. There
is a metric on the space of partitions which makes it  a Polish space. I will describe various 
generic properties in this space. Here are two examples:
   1. The generic partition defines a process that is not Rosenblatt mixing. 
    2. If  T is a K-automorphism that is not Bernoulli then the generic partition is also K but
not Bernoulli.