Abstract: A common definition of chaos (disorder) for measure preserving diffeomorphisms is that the system can simulate a random system (eg. Bernoulli shift). We will discuss the limitations of this definition for (Baire) generic diffeomorphisms with respect to the volume measure and a suggestion of a better notion involving finitary (almost everywhere continuous) stationary factors.  This will be demonstrated via the model of Anosov diffeomorphisms. 
This is a joint work with Terry Soo (UCL).