  Here we review and extend central limit theorems for highly chaotic but
deterministic semi-dynamical discrete time systems. We then apply these results
show how Brownian motion-like results are recovered, and how an
Ornstein-Uhlenbeck process results within a totally deterministic framework.
These results illustrate that the contamination of experimental data by "noise"
may, under certain circumstances, be alternately interpreted as the signature
of an underlying chaotic process.
