\begin{document}
-\author{Jean-François Couchot, Christophe Guyeux, Pierre-Cyrille Heam}
-\address{FEMTO-ST Institute, University of Franche-Comté, Belfort, France}
+\author{Sylvain Contassot-Vivier, Jean-François Couchot, Christophe Guyeux, Pierre-Cyrille Heam}
+\address{LORIA, Université de Lorraine, Nancy, France\\
+FEMTO-ST Institute, University of Franche-Comté, Belfort, France}
-\keywords{Pseudorandom Number Generator, Theory of Chaos, Markov Matrice, Hamiltonian Path, Mixing Time, Stopping Time, Statistical Test}
+\keywords{Pseudorandom Number Generator, Theory of Chaos, Markov Matrice, Hamiltonian Path, Stopping Time, Statistical Test}
\subjclass{34C28, 37A25,11K45}
\section{Introduction}
\input{intro}
- \section{\uppercase{Preliminaries}}\label{sec:preliminaries}
+\section{Preliminaries}\label{sec:preliminaries}
\input{preliminaries}
\section{Proof Of Chaos}\label{sec:proofOfChaos}
\section{Functions with Strongly Connected $\Gamma_{\{b\}}(f)$}\label{sec:SCCfunc}
\input{generating}
+\section{Balanced Hamiltonian Cycle}\label{sec:hamilton}
+\input{hamilton}
+
+
\section{Stopping Time}\label{sec:hypercube}
\input{stopping}