# Are deterministic RNGs chaotic systems?

Deterministic random number generators (RNG) are designed to provide faithful approximations of a uniform distribution.

Given that a deterministic RNG always gives the same sequence for a given initial state (e.g. a seed), my question is: can we represent them as a (chaotic) dynamical system?

If so, how the properties of the RNG (e.g. "faithfulness") relate with the properties of the dynamical system such as the Largest Lyapunov exponent (largest LE)?

For instance, I suspect that a large Lyapunov exponent is good from the RNG point of view since more entropy is produced, but it seems to me that it is not enough to have a large Lyapunov exponent.

I found this work where the authors make such claim, but they don't provide any insight about the RNG properties.