 Since different levels of EH correspond to different degrees of randomness, each explicated in terms of a different type of asymptotic decay of correlations between states of systems at different times, one might suspect that a similar pattern can be found in the rates of decay. That is, one might be tempted to think that EH can equally be characterized as a hierarchy of increasing rates of decay of correlations: a K-system, for instance, which exhibits exponential divergence of trajectories would be characterized by an exponential rate of decay of correlations, while a SM-system would exhibit a polynomial rate of decay.