X-Git-Url: https://bilbo.iut-bm.univ-fcomte.fr/and/gitweb/rairo15.git/blobdiff_plain/753ebfb9b4f7828df9b2f2e38cc9b7076be71d0c..e878014111cef8e935255d892d3d132429d03469:/main.tex?ds=sidebyside

diff --git a/main.tex b/main.tex
index 4143e22..bc8bb20 100644
--- a/main.tex
+++ b/main.tex
@@ -6,9 +6,26 @@
 \usepackage{ifthen}
 \usepackage{color}
 \usepackage{algorithm2e}
-\usepackage[hyperfirst=true,nogroupskip,nonumberlist,xindy]{glossaries}
+\usepackage{epstopdf}
 
 
+\usepackage[latin1]{inputenc}
+\usepackage[T1]{fontenc} 
+\usepackage[english]{babel}
+\usepackage{amsmath,amssymb,latexsym,eufrak,euscript}
+\usepackage{pstricks,pst-node,pst-coil}
+
+
+\usepackage{url,tikz}
+\usepackage{pgflibrarysnakes}
+
+\usepackage{multicol}
+
+\usetikzlibrary{arrows}
+\usetikzlibrary{automata}
+\usetikzlibrary{snakes}
+\usetikzlibrary{shapes}
+
 
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 % Définitions personnelles
@@ -28,22 +45,32 @@
   }
 }
 
+
+
+\newcommand {\tv}[1] {\lVert #1 \rVert_{\rm TV}}
+\def \top {1.8}
+\def \topt {2.3}
+\def \P {\mathbb{P}}
+\def \ov {\overline}
+\def \ts {\tau_{\rm stop}}
+
+
 % \theoremstyle{plain}
 % \theoremheaderfont{\normalfont\bfseries\sc}
 % \theorembodyfont{\slshape}
 % \theoremsymbol{\ensuremath{\diamondsuit}}
 % \theoremprework{\bigskip}
 % \theoremseparator{.}
-\newtheorem{Def}{\underline{Définition}}
-\newtheorem{Lemma}{\underline{Lemme}}
-\newtheorem{Theo}{\underline{Théorème}}
+\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}{Preuve :}
-\newtheorem{xpl}{Exemple illustratif :}
+\newtheorem{Proof}{Proof}
+\newtheorem{xpl}{Running Example}
 
 \newcommand{\vectornorm}[1]{\ensuremath{\left|\left|#1\right|\right|_2}}
 %\newcommand{\ie}{\textit{i.e.}}
@@ -55,7 +82,7 @@
 \newcommand{\Gall}[0]{\ensuremath{\mathcal{G}}}
 
 
-\newcommand{\JFC}[1]{\begin{color}{green}\textit{}\end{color}}
+\newcommand{\JFC}[1]{\begin{color}{green}\textit{#1}\end{color}}
 \newcommand{\CG}[1]{\begin{color}{blue}\textit{}\end{color}}
 \newcommand{\og}[0]{``}
 \newcommand{\fg}[1]{''}
@@ -91,33 +118,36 @@ may be  updated at each iteration.   At the theoretical level,  we show that
 \section{Introduction}
 %\input{intro}
 
-\section{Preliminaries}
+ \section{\uppercase{Preliminaries}}\label{sec:preliminaries}
 \input{preliminaries}
 
 
 \section{Proof Of 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). 
 
-
+\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{Expérimentations}
-%
+\section{Application to Pseudorandom Number Generation}
+\input{prng}
 
 \section{Conclusion}
 %\input{conclusion}
 
 %\acknowledgements{...}
 
-
+\bibliographystyle{alpha}
 \bibliography{biblio}
 
 \end{document}