X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/rairo15.git/blobdiff_plain/a4822f9546c111a918ccfc748828076bcfe1202a..7dd748e9a068c99c61fefdcbde3c24e4c9b74bf9:/main.tex

diff --git a/main.tex b/main.tex
index 4f8d3a3..701bcb6 100644
--- a/main.tex
+++ b/main.tex
@@ -92,10 +92,12 @@
 
 \begin{document}
 
-\author{Jean-François Couchot, Christophe Guyeux, Pierre-Cyrile Heam}
-\address{Institut FEMTO-ST, Université de Franche-Comté, Belfort, France}
+\author{Jean-François Couchot, Christophe Guyeux, Pierre-Cyrille Heam}
+\address{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}
 
+\subjclass{34C28, 37A25,11K45}
 
 \begin{abstract}
 This paper is dedicated to the design of chaotic random generators
@@ -103,8 +105,8 @@ and extends previous works proposed by some of the authors.
 We propose a theoretical framework proving both the chaotic properties and
 that the limit distribution is uniform.
 A theoretical bound on the stationary time is given and
-practical experiments show that the generators successfully passe
-the classical statsitcal tests.
+practical experiments show that the generators successfully pass
+the classical statistical tests.
 \end{abstract}
 
 \maketitle
@@ -121,27 +123,16 @@ the classical statsitcal tests.
 \section{Functions with Strongly Connected $\Gamma_{\{b\}}(f)$}\label{sec:SCCfunc}
 \input{generating}
 
-\section{Random walk on the modified Hypercube}\label{sec:hypercube}
+\section{Stopping Time}\label{sec:hypercube}
 \input{stopping}
 
-% Donner la borne du stopping time quand on marche dedans (nouveau). 
-% Énoncer le problème de la taille de cette borne
-% (elle est certes finie, mais grande). 
-
-
-
-
-%\section{Quality study of the strategy}
-%6) Se pose alors la question de comment générer une stratégie de "bonne qualité". Par exemple, combien de générateurs aléatoires embarquer ? (nouveau)
-
-
-\section{Application to Pseudorandom Number Generation}\label{sec:prng}
+\section{Experiments}\label{sec:prng}
 \input{prng}
-\JFC{ajouter ici les expérimentations}
+
 
 
 \section{Conclusion}
-%\input{conclusion}
+\input{conclusion}
 
 %\acknowledgements{...}