\documentclass{ita}
\usepackage{graphicx}
+\usepackage{caption}
+\usepackage{subcaption}
+
\usepackage{dsfont}
\usepackage{stmaryrd}
-\usepackage[font=footnotesize]{subfig}
+%\usepackage[font=footnotesize]{subfig}
\usepackage{ifthen}
\usepackage{color}
\usepackage{algorithm2e}
\usepackage{epstopdf}
+%\usepackage{ntheorem}
-
-\usepackage[latin1]{inputenc}
+\usepackage[utf8]{inputenc}
\usepackage[T1]{fontenc}
\usepackage[english]{babel}
\usepackage{amsmath,amssymb,latexsym,eufrak,euscript}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-% Définitions personnelles
+% Définitions personnelles
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\definecolor{bleuclair}{rgb}{0.75,0.75,1.0}
\def \ts {\tau_{\rm stop}}
-% \theoremstyle{plain}
-% \theoremheaderfont{\normalfont\bfseries\sc}
-% \theorembodyfont{\slshape}
-% \theoremsymbol{\ensuremath{\diamondsuit}}
-% \theoremprework{\bigskip}
-% \theoremseparator{.}
-\newtheorem{Def}{\underline{Definition}}
-\newtheorem{Lemma}{\underline{Lemma}}
-\newtheorem{Theo}{\underline{Theorem}}
-% \theoremheaderfont{\sc}
-% \theorembodyfont{\upshape}
-% \theoremstyle{nonumberplain}
-% \theoremseparator{}
-% \theoremsymbol{\rule{1ex}{1ex}}
-\newtheorem{Proof}{Proof}
-\newtheorem{xpl}{Running Example}
+\newtheorem{Def}{Definition}
+%\newtheorem{Lemma}{\underline{Lemma}}
+\newtheorem{Theo}{Theorem}
+\newtheorem{Corollary}{Corollary}
+\newtheorem{Lemma}{Lemma}
+\newtheorem{proposition}{Proposition}
+\newtheorem*{xpl}{Running Example}
\newcommand{\vectornorm}[1]{\ensuremath{\left|\left|#1\right|\right|_2}}
%\newcommand{\ie}{\textit{i.e.}}
\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-Cyrile Heam}
+\address{Institut FEMTO-ST, Université de Franche-Comté, Belfort, France}
-\author{Sylvain Contassot-Vivier}
-\address{Loria - UMR 7503, Université de Lorraine, Nancy, France}
-\date{...}
\begin{abstract}
-This paper extends the results presented in~\cite{bcgr11ip}
-and~\cite{chgw14oip} by using the \emph{chaotic} updating mode, in the sense
+This paper extends the results presented in~\cite{bcgr11:ip}
+and~\cite{DBLP:conf/secrypt/CouchotHGWB14}
+by using the \emph{chaotic} updating mode, in the sense
of F. Robert~\cite{Robert}. In this mode, several components of the system
may be updated at each iteration. At the theoretical level, we show that
the properties of chaos and uniformity of the obtained PRNG are preserved.
reduced mixing time.
\end{abstract}
+\maketitle
+
\section{Introduction}
%\input{intro}
\section{\uppercase{Preliminaries}}\label{sec:preliminaries}
\input{preliminaries}
-
\section{Proof Of Chaos}
+\JFC{Enlever les refs aux PRNGs, harmoniser l'exemple}
+\input{chaos}
+\section{Generating....}
+\JFC{Reprendre Mons en synthétisant... conclusion: n-cube moins hamitonien.
+question efficacité d'un tel algo}
+%\input{chaos}
-
-\section{Stopping Time}
+\section{Random walk on the modified 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).
+% Énoncer le problème de la taille de cette borne
+% (elle est certes finie, mais grande).
+
-\section{Proofs of Chaos in this context}
-\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{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}
\input{prng}
+\JFC{ajouter ici les expérimentations}
+
\section{Conclusion}
%\input{conclusion}
