  Delay differential equations (DDE) can have "chaotic" solutions that can be
used to mimic Brownian motion. Since a Brownian motion is random in its
velocity, it is reasonable to think that a random number generator (RNG) might
be constructed from such a model. In this preliminary study, we consider one
specific example of this and show that it satisfies criteria commonly employed
in the testing of random number generators (from TestU01's very stringent "Big
Crush" battery of tests). A technique termed digit discarding, commonly used in
both this generator and physical RNG's using laser feedback systems, is
discussed with regard to the maximal Lyapunov exponent. Also, we benchmark the
generator to a contemporary common method: the multiple recursive generator,
MRG32k3a. Although our method is about 7 times slower than MRG32k3a, there is
in principle no apparent limit on the number of possible values that can be
generated from the scheme we present here.
