\begin{itemize}
\item Fields of Applications:
\begin{itemize}
\item Security: hash function, steganography, stream cipher
\item Time Synchronization: GPS
\item Numerical simulations: Monte-Carlo algorithms
\item<2->\alert{Simulation of Chaotic systems: protein dynamics e.g.}
\end{itemize}
\item Requirements:
\begin{itemize}
\item Reproducibility: same seed $\leadsto$ same stream 
\item Successful pass on PRNG batteries of tests:
NIST\footnote{E.~Barker and A.~Roginsky.
\newblock Draft {N}{I}{S}{T} special publication 800-131 recommendation for the
  transitioning of cryptographic algorithms and key sizes, 2010.}, 
DieHARD\footnote{G.~Marsaglia.
\newblock DieHARD: a battery of tests of randomness.
\newblock {\em http://stat.fsu.edu/~geo/diehard.html}, 1996}
\item<2-> \alert{Should have chaotic properties }
\end{itemize} 
\end{itemize}