From fcbc9202a51285ff17060f4d330eca0d57b2a3c1 Mon Sep 17 00:00:00 2001
From: couchot <couchot@couchot>
Date: Sun, 29 Jan 2017 19:59:04 +0100
Subject: [PATCH] la veille

---
 talk/analysevectorielle.tex       |   6 +--
 talk/asynchrone.tex               |   4 +-
 talk/attracteurs.tex              |  13 +++----
 talk/bilanacademique.tex          |  11 +++---
 talk/bittar.tex                   |   7 ++--
 talk/chaosDevaney.tex             |   2 +-
 talk/chaosDevaneyGeneralisees.tex |  18 ++++-----
 talk/chaosDevaneyUnaire.tex       |  15 +++++---
 talk/complexity.png               | Bin 0 -> 38988 bytes
 talk/complexity2.png              | Bin 0 -> 38988 bytes
 talk/condunif.tex                 |   2 +-
 talk/graphes.tex                  |  10 +++++
 talk/gray.tex                     |   2 +-
 talk/hamiltonien1.tex             |   4 +-
 talk/jacobienne.tex               |   2 +-
 talk/kyko.png                     | Bin 0 -> 53446 bytes
 talk/main.tex                     |  61 +++++++++++++++++-------------
 talk/marquage.tex                 |   8 ++--
 talk/perspectives.tex             |   6 +--
 talk/plusqu1bit.tex               |   8 ++--
 talk/preuveconvmotiv.tex          |   4 +-
 talk/prnggeneralise.tex           |  28 ++++++++------
 talk/prnggeneralise2.tex          |  46 ++++++++++++----------
 talk/prngunauretheorieok.tex      |  58 ++++------------------------
 talk/stabylo.tex                  |   9 +++--
 talk/steganalyse.png              | Bin 0 -> 9249 bytes
 talk/synthesescientifique.tex     |   6 +--
 talk/tipe12.tex                   |  14 +++----
 talk/xplprngyestheorieko.tex      |   4 +-
 talk/xplsddasync.tex              |   2 +-
 30 files changed, 169 insertions(+), 181 deletions(-)
 create mode 100644 talk/complexity.png
 create mode 100644 talk/complexity2.png
 create mode 100644 talk/kyko.png
 create mode 100644 talk/steganalyse.png

diff --git a/talk/analysevectorielle.tex b/talk/analysevectorielle.tex
index 8e2bcde..cb6a66b 100644
--- a/talk/analysevectorielle.tex
+++ b/talk/analysevectorielle.tex
@@ -12,9 +12,9 @@ hessienne.
 \end{itemize}
 
 \begin{block}{Gradient dans des image~\cite{ccfg16:ip}}
-\begin{minipage}{0.60\textwidth}
+\begin{minipage}{0.55\textwidth}
 \begin{itemize}
-\item Approches usuelles: convolutions avec des noyaux de type `Sobel'',
+\item Approches usuelles: convolutions avec des noyaux de type ``Sobel'',
   ``Prewitt'',\ldots
 \item Proposition : noyaux de taille variable \\(entre 3 et 13) 
   \begin{enumerate}
@@ -26,7 +26,7 @@ hessienne.
 \begin{minipage}{0.30\textwidth}
 %\vspace{-3em}
 %\begin{center}
-\includegraphics[scale=0.3]{steganalyse}
+\includegraphics[scale=0.25]{kyko.png}
 %\end{center}
 \end{minipage}
 \end{block}
diff --git a/talk/asynchrone.tex b/talk/asynchrone.tex
index d408ddf..4fd9857 100644
--- a/talk/asynchrone.tex
+++ b/talk/asynchrone.tex
@@ -2,9 +2,9 @@
  \item Deux modes: 
 \begin{itemize}
  \item 
-   \emph{Synchrone}: chaque élément attend la valeur des élements dont il dépend.
+   \emph{Synchrone}: les éléments itèrent simultanément.
  \item 
-  \emph{Asynchrone}: chaque élément met  à jour sa valeur sans attendre.
+  \emph{Asynchrone}: les éléments peuvent itérer  sans attendre.
  \end{itemize}
 
 \item  $(D^{t})^{t \in  \Nats}$:  suite de matrices de taille $\mathsf{N}  \times \mathsf{N}$ t.q.  
diff --git a/talk/attracteurs.tex b/talk/attracteurs.tex
index c5ccf6f..e5310e8 100644
--- a/talk/attracteurs.tex
+++ b/talk/attracteurs.tex
@@ -1,12 +1,9 @@
 \begin{itemize}
- \item  $x$ \emph{point fixe} de $f$ si  $x = f (x)$
- \item $A$ \emph{attracteurs} du graphe si
-\begin{itemize}
- \item pour tout arc $x \rightarrow y$ , si $x \in A$, alors 
-   $y \in A$ et 
-\item $A$: le plus petit au sens de l'inclusion
-\end{itemize}
-\end{itemize}
+ \item \emph{Attracteurs} $A$ du graphe: le plus petit ss ens. (au sens de l'inclusion) t.q.\\
+   pour tout arc $x \rightarrow y$ , si $x \in A$, alors 
+     $y \in A$.
+   \item \emph{Point fixe} $x$ de $f$: si  $x = f (x)$.
+ \end{itemize}
 
 \vspace{-1em}
 \begin{block}{Attracteurs de 
diff --git a/talk/bilanacademique.tex b/talk/bilanacademique.tex
index 665079b..f58b11e 100644
--- a/talk/bilanacademique.tex
+++ b/talk/bilanacademique.tex
@@ -2,12 +2,11 @@
 \begin{itemize}
 \item Encadrement doctoral:
   \begin{itemize}
-  \item Soutenue: dec. 16, Bassam Alkindy (40\%).
-  \item En cours: Youssra Fadil (50\%), Mohamed Bakiri (50\%), Nesrine Khernane (50\%).
+  \item Soutenue:  Bassam Alkindy (dec. 15, 40\%).
+  \item En cours: Youssra Fadil (mar. 17, 50\%), Mohamed Bakiri (dec. 17, 50\%), Nesrine Khernane (dec. 18, 50\%).
   \end{itemize}
 \item 10 Reviews de journaux internationaux référencés.
-\item $2\times$ sessionchair, $1\times$ chairman en conférence
-  internationale.   
+%\item $2\times$ sessionchair, $1\times$ chairman en conférence   internationale.   
 \item 1 projet région (15--18) 
   ``capteurs multimédias collaboratifs: une approche
   intégrée de la sécurité et de la robustesse''.
@@ -35,7 +34,7 @@
 % conf inter
 
 
-\cite{bcg11:ip,bcg11b:ip,acgs13:onp,chgw+14:onp}
+\cite{bcg11:ip,bcg11b:ip}
 
 
 \\ %\hline  
@@ -64,6 +63,6 @@
 \end{tabular}
 \end{center}
 \item Mandat d'élu: conseil d'institut de l'IUT BM (10--14).
-\item Réponsabilité pédagogique: responsable de la LP SIL CAM, TeProw 
+\item Responsabilité pédagogique: responsable de la LP SIL CAM, TeProw 
   (14--\ldots).
 \end{itemize}
diff --git a/talk/bittar.tex b/talk/bittar.tex
index 5391257..87a9aad 100644
--- a/talk/bittar.tex
+++ b/talk/bittar.tex
@@ -7,12 +7,11 @@
 \begin{block}{STDM dans les PDF textuels~\cite{BDCC16}}
 \begin{itemize}
 \item Hôte: l'ensemble des abscisses des caractères du document.
-\item Application directe de STDM, de quantification $\Delta$.
-\item Compromis:
+\item Application de STDM avec comme compromis:
 \begin{itemize}
 \item Robustesse: possibilité de retrouver la marque face à chaque 
-  attaque qui laissant le document lisible.
-\item Imperceptibilité: le document initialement lisible.
+  attaque laissant le document lisible.
+\item Imperceptibilité: difficile de distinguer l'hôte original du document marqué.
 \end{itemize}
 \end{itemize}
 \end{block}
diff --git a/talk/chaosDevaney.tex b/talk/chaosDevaney.tex
index 1226075..4b48a58 100644
--- a/talk/chaosDevaney.tex
+++ b/talk/chaosDevaney.tex
@@ -3,7 +3,7 @@ $k$ continue sur $(\mathcal{X},d)$ est chaotique si elle est transitive,
 régulière et fortement sensible aux conditions initiales.
 
 \begin{itemize}
-\item \emph{Transitivitivé}: pour chaque point, chacun de ses voisinages
+\item \emph{Transitivité}: pour chaque point, chacun de ses voisinages
   a un futur pouvant contenir tout point de l'espace.
 \item  \emph{Régularité}:   l'ensemble de ses points 
 périodiques est dense dans $\mathcal{X}$.
diff --git a/talk/chaosDevaneyGeneralisees.tex b/talk/chaosDevaneyGeneralisees.tex
index 99fd442..36a7868 100644
--- a/talk/chaosDevaneyGeneralisees.tex
+++ b/talk/chaosDevaneyGeneralisees.tex
@@ -1,15 +1,19 @@
 \begin{itemize}
-\item Vers une fonction de 
-$\mathcal{X}_g =\Bool^{\mathsf{N}} 
+
+\item $\mathcal{X}_g =\Bool^{\mathsf{N}} 
 \times  \left(\mathcal{P}([{\mathsf{N}}]\right)^{\Nats}$ 
-dans lui même:
+ et $G_{f_g}: \mathcal{X}_g \rightarrow \mathcal{X}_g$ tq.
+  $
+  G_{f_g}(x,s)=(F_{f_g}(x,s_0),\sigma(s)),
+  $:
+
 \begin{itemize}
 \item   $F_{f_g}:  \Bool^{\mathsf{N}} \times \mathcal{P}([{\mathsf{N}}]) 
   \rightarrow \Bool^{\mathsf{N}}$  par
   $
-  F_{f_g}(x,s)_i=\left\{
+  F_{f_g}(x,s_0)_i=\left\{
     \begin{array}{l}
-      f_i(x) \textrm{ si $i \in s$;}\\   
+      f_i(x) \textrm{ si $i \in s_0$;}\\   
       x_i \textrm{ sinon.}
     \end{array}\right.
   $
@@ -18,10 +22,6 @@ dans lui même:
  \rightarrow 
  \mathcal{P}([{\mathsf{N}}])^{\Nats}$
  t.q. $\forall t\in\Nats,\sigma(s)_t=s_{t+1}$
-\item $G_{f_g}$ définie par 
-   $
-  G_{f_g}(x,S)=(F_{f_g}(x,s_0),\sigma(S)),
-  $ 
 
 \end{itemize}
 
diff --git a/talk/chaosDevaneyUnaire.tex b/talk/chaosDevaneyUnaire.tex
index f3efc5e..9b80fbd 100644
--- a/talk/chaosDevaneyUnaire.tex
+++ b/talk/chaosDevaneyUnaire.tex
@@ -1,13 +1,11 @@
 \begin{itemize}
-\item Vers une fonction de 
-$\mathcal{X}_u =\Bool^{\mathsf{N}} \times [{\mathsf{N}}]^\Nats$ 
-dans lui même~\cite{guyeuxphd}:
+\item $\mathcal{X}_u =\Bool^{\mathsf{N}} \times [{\mathsf{N}}]^\Nats$  et 
+$G_{f_u}:\mathcal{X}_u \rightarrow \mathcal{X}_u$ tq.
+  $G_{f_u}(x,s)=(F_{f_u}(x,s_0),\sigma(s))$~\cite{guyeuxphd}:
 \begin{itemize}
 \item $F_{f_u}: \Bool^{\mathsf{N}} \times [{\mathsf{N}}] \rightarrow \Bool^{\mathsf{N}}$, 
 $(x,i) \mapsto (x_1,\dots,x_{i-1},f_i(x),x_{i+1},\dots,x_{\mathsf{N}})$
 \item $\sigma: [{\mathsf{N}}]^\Nats \rightarrow [{\mathsf{N}}]^\Nats$ t.q. $\forall t\in\Nats,\sigma(s)_t=s_{t+1}$
-\item $G_{f_u}$ définie par 
-  $G_{f_u}(x,s)=(F_{f_u}(x,s_0),\sigma(s))$
 \end{itemize}
 
 \item Distance $d$: $d((x,s),(x',s'))= d_H(x,x')+d_S(s,s')$
@@ -19,3 +17,10 @@ Soit $f:\Bool^{\mathsf{N}}\to\Bool^{\mathsf{N}}$.
 Les itérations de la fonction $G_{f_u}$ sont chaotiques  
 si et seulement si $\textsc{giu}(f)$ est fortement connexe.
 \end{theorem}
+
+\begin{theorem}[Fonctions t.q.  $G_{f_g}$ est chaotique]
+\label{Th:CaracIC}  
+Soit $f:\Bool^{\mathsf{N}}\to\Bool^{\mathsf{N}}$. 
+Les itérations de la fonction $G_{f_g}$ sont chaotiques  
+si et seulement si $\textsc{gig}(f)$ est fortement connexe.
+\end{theorem}
diff --git a/talk/complexity.png b/talk/complexity.png
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diff --git a/talk/condunif.tex b/talk/condunif.tex
index c23cf31..9b22d8b 100644
--- a/talk/condunif.tex
+++ b/talk/condunif.tex
@@ -48,7 +48,7 @@
       \end{array}
     \right)
     $
-  \item $\pi_h=(\frac{1}{2}, \frac{1}{2},\frac{1}{2},\frac{1}{2})$
+  \item $\pi_h=(\frac{1}{4}, \frac{1}{4},\frac{1}{4},\frac{1}{4})$
   \end{itemize}
 \end{minipage}
 \end{block}  
diff --git a/talk/graphes.tex b/talk/graphes.tex
index bf29c3e..957331c 100644
--- a/talk/graphes.tex
+++ b/talk/graphes.tex
@@ -34,5 +34,15 @@ x_1 + x_2 + x_3)$.}
   %\caption{}
 \end{figure}
 \end{block}
+
+\begin{itemize}
+\item Etude du comportement / schéma:
+\begin{itemize}
+\item Convergence vers des points fixes.
+\item Divergence: entrée dans des cycles.
+\end{itemize}
+\end{itemize}
+
+
 % On remarque le cycle $((101,111),(111,011),(011,101))$ 
 %  à la \textsc{Figure}~(\ref{fig:fsig}).
\ No newline at end of file
diff --git a/talk/gray.tex b/talk/gray.tex
index 6888dad..6571035 100644
--- a/talk/gray.tex
+++ b/talk/gray.tex
@@ -6,7 +6,7 @@
  preuve de l'existence (sans construction) de cycle hamiltonien équilibré.
 
 \begin{theorem}[Constr. de cycle hamiltonien équilibré~\cite{ccgh16}]
-Il existe une séquence (et construction de celle-ci)  dans de l'extension
+Il existe une séquence (et construction de celle-ci)  dans l'extension
 de l'algorithme de \emph{Robinson-Cohn}  telle que le cycle est équilibré.
 \end{theorem}
 
diff --git a/talk/hamiltonien1.tex b/talk/hamiltonien1.tex
index b532822..8343765 100644
--- a/talk/hamiltonien1.tex
+++ b/talk/hamiltonien1.tex
@@ -12,7 +12,7 @@ $000,100,101,001,011,111,110,010,000$.
 \begin{minipage}{0.49\textwidth}
 %\includegraphics[scale=0.5]{iter_f0c}
   \includegraphics<1>[scale=0.4]{../images/iter_f0c}
-  \includegraphics<2>[scale=0.4]{../images/iter_f0d}
+  \includegraphics<2>[scale=0.4]{./iter_f0d2}
 \end{minipage}
 \begin{minipage}{0.49\textwidth}
 \vspace{-1em}
@@ -36,7 +36,7 @@ M=\dfrac{1}{3} \left(
 
 
 \begin{theorem}[ $\mathsf{N}$-cube privé d'un cycle hamiltonien ~\cite{chgw+14:oip}]
-  Dans un $\mathsf{N}$-cube,  dans lequel un  cycle hamiltonien a été enelvé:
+  Dans un $\mathsf{N}$-cube,  dans lequel un  cycle hamiltonien a été enlevé:
   \begin{itemize}
   \item La matrice de Markov engendrée est  doublement stochastique.
   \item Le  graphe $\textsc{giu}$ correspondant est fortement connexe.
diff --git a/talk/jacobienne.tex b/talk/jacobienne.tex
index 144bfdc..e29bd94 100644
--- a/talk/jacobienne.tex
+++ b/talk/jacobienne.tex
@@ -10,7 +10,7 @@ $f'_{ij}=\dfrac{f_i(\overline{x}^j){-}f_i(x)}{\overline{x_j}{-}x_j}$.
 \end{itemize}
 \end{itemize}
 
-\begin{block}{Graphes des interractions de 
+\begin{block}{Graphes des interactions de 
 $(x_1, x_2, x_3) \mapsto 
 ((\overline{x_1} + \overline{x_2}).x_3,
 x_1.x_3,
diff --git a/talk/kyko.png b/talk/kyko.png
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diff --git a/talk/main.tex b/talk/main.tex
index 06a18d2..6e5f342 100644
--- a/talk/main.tex
+++ b/talk/main.tex
@@ -1,6 +1,8 @@
 %\requirepackage[ntheorem}
+%\documentclass[handout]{beamer}
 \documentclass{beamer}
 \usepackage{beamerthemefemto}
+\usepackage{handoutWithNotes}
 \usepackage[utf8]{inputenc}
 \usepackage[T1]{fontenc}
 \usepackage{amsfonts,amsmath,amssymb,stmaryrd,dsfont}
@@ -8,14 +10,17 @@
 \usepackage{algorithm2e}
 \usepackage{alltt}
 \usepackage{mathtools}
+\usepackage{slashbox}
 \usepackage{psfrag}
+\usepackage{multirow}
+ \usepackage{rotating}
 \usepackage[font=footnotesize]{subfig}
 \usepackage{listings}
 %\usepackage{ntheorem}
 \deftranslation[to=french]{Theorem}{Théorème}
 \deftranslation[to=french]{Definition}{Définition}
 
-
+%\pgfpagesuselayout{2 on 1 with notes}[a4paper,border shrink=5mm]
 
 % \theoremstyle{plain}
 % \theoremsymbol{\ensuremath{\clubsuit}}
@@ -110,51 +115,53 @@
 
 %\frame{\frametitle{Plan}\tableofcontents[hideallsubsections]}
 
-\section{Introduction: iterations de réseaux booléens}
+\section{Introduction: itérations de réseaux booléens (07--09)}
 \inputFrameb{Réseau booléen (définition)}{rb}
-\inputFrameb{3 schémas $\leadsto$ 3 graphes d'itérations}{graphes}
-\inputFrameb{Attracteurs}{attracteurs}
+\inputFrameb{Graphes d'itérations et convergence}{graphes}
+%\inputFrameb{Comportement / attracteurs}{attracteurs}
 \inputFrameb{Dépendance entre éléments}{jacobienne}
-\inputFrameb{Mode asynchrone}{asynchrone}
-\inputFrameb{Un exemple motivant}{xplsddasync}
+%\inputFrameb{Mode asynchrone}{asynchrone}
+%\inputFrameb{Un exemple motivant}{xplsddasync}
 %\inputFrameb{Problématique}{sddproblematique}
 \frame{\frametitle{Plan}\tableofcontents[hideallsubsections]}
 
-\section{Réseaux booléens: des preuves de convergences}\label{sec:sdd}
-\frame{\frametitle{Plan}\tableofcontents[currentsection]}
-\inputFrameb{Suffisamment de synchronisme}{synchronisons}
-\inputFrameb{Mode mixte avec $g$}{mixteexample}
-\inputFrameb{Convergence par la pratique}{preuveconvmotiv}
-\inputFrameb{Du système booléen au modèle PROMELA}{sdd2promela}
+% \section{Réseaux booléens: des preuves de convergences}\label{sec:sdd}
+% \frame{\frametitle{Plan}\tableofcontents[currentsection]}
+% \inputFrameb{Suffisamment de synchronisme}{synchronisons}
+% \inputFrameb{Mode mixte avec $g$}{mixteexample}
+% \inputFrameb{Convergence par la pratique}{preuveconvmotiv}
+% \inputFrameb{Du système booléen au modèle PROMELA}{sdd2promela}
 
 
 
 
-\section{Des systèmes dynamiques discrets au chaos}\label{sec:sddchaos}
-\frame{\frametitle{Plan}\tableofcontents[currentsection]}
-\inputFrameb{Rappels sur les itérations chaotiques}{chaosDevaney}
-\inputFrameb{Espace pour itérations chaotiques (unaires)}{chaosDevaneyUnaire}
-\inputFrameb{Espace pour itérations chaotiques (généralisées)}{chaosDevaneyGeneralisees}
+\section{Des systèmes dynamiques discrets au chaos (09--12)}\label{sec:sddchaos}
+\subsection{Bahi, Guyeux, Richard} 
+\frame{\frametitle{Plan}\tableofcontents[currentsection,hideothersubsections]}
+\inputFrameb{Contexte: chaos selon Devaney}{chaosDevaney}
+\inputFrameb{``Chaoticité'' des  itérations unaires/généralisées}{chaosDevaneyUnaire}
+%\inputFrameb{``Chaoticité'' des itérations généralisées}{chaosDevaneyGeneralisees}
 \inputFrameb{Générer un graphe ${\textsc{giu}}$ fortement connexe}{tipe12}
 
 
-\section{Applications à la génération de nombres pseudo-aléatoires}\label{sec:prng}
-\frame{\frametitle{Plan}\tableofcontents[currentsection]}
+\section{Application à la génération de nombres pseudo-aléatoires (11--\ldots)}\label{sec:prng}
+\subsection{Bahi, Bakiri, Contassot-Vivier, Guyeux, Heam,  Richard, Wang} 
+\frame{\frametitle{Plan}\tableofcontents[currentsection,hideothersubsections]}
 \inputFrameb{PRNG par itérations unaires}{prngualgo}
 \inputFrameb{Condition néc. suff. pour l'uniformité}{condunif}
 \inputFrameb{Succès pratiques et limites théoriques}{xplprngyestheorieko}
-
-\inputFrameb{Espace pour itérations chaotiques ($b$)}{prngunauretheorieok}
+\inputFrameb{Formalisation de $b$ itérations unaires}{prngunauretheorieok}
 \inputFrameb{$\textsc{giu}$ fortement connexe par construction}{hamiltonien1}
 \inputFrameb{Cycle hamiltonien équilibré}{gray}
-\inputFrameb{Evaluation de l'écart / ditribution uniforme}{heam}
+\inputFrameb{Évaluation de l'écart / distribution uniforme}{heam}
 \inputFrameb{Et les itérations généralisées?}{prnggeneralise}
-\inputFrameb{Analyse  pratique des deux classes de PRNGS}{prnggeneralise2}
+\inputFrameb{Plateforme d'implantation FPGA~\cite{DBLP:conf/secrypt/MohammedCG16}}{prnggeneralise2}
 
 
-\section{Application au masquage d'information}\label{sec:ih}
-\frame{\frametitle{Plan}\tableofcontents[currentsection]}
-\inputFrameb{Marquage de média: un processsus iteratif}{marquage}
+\section{Application au masquage d'information (11--\ldots)}\label{sec:ih}
+\subsection{Bahi, Bittar, Couturier, Darazi, Fadil, Friot, Guyeux} 
+\frame{\frametitle{Plan}\tableofcontents[currentsection,hideothersubsections]}
+\inputFrameb{Marquage de média: un processus itératif}{marquage}
 \inputFrameb{Embarquons plus qu'un bit}{plusqu1bit}
 \inputFrameb{Tatouage (flottant) de PDF }{bittar}
 \inputFrameb{Stéganographie: introduction avec STABYLO }{stabylo}
@@ -162,7 +169,7 @@
 
 
 \section{Conclusion}
-\frame{\frametitle{Plan}\tableofcontents[currentsection]}
+\frame{\frametitle{Plan}\tableofcontents[currentsection,hideothersubsections]}
 \inputFrameb{Synthèse scientifique}{synthesescientifique}
 \inputFrameb{Perspectives}{perspectives}
 \inputFrameb{Bilan académique}{bilanacademique}
diff --git a/talk/marquage.tex b/talk/marquage.tex
index 4367be9..5618744 100644
--- a/talk/marquage.tex
+++ b/talk/marquage.tex
@@ -3,7 +3,7 @@
  \label{def:dhCI:ext}
  Soit un  hôte $x$, $u_m$ les indices de ses bits modifiables,
  $\phi_{m}$ leur valeur, 
- $y$ un message, $q$ un nombre d'itération.
+ $y$ un message, $q$ un nombre d'itérations.
  L'algorithme d'embarquement retourne le 
  résultat de l'embarquement de  $\hat{y}$ dans $x$, t. q.:
  \begin{itemize}
@@ -21,11 +21,11 @@ si $f_l$ est tq.
 $\textsc{giu}(f_l)$ fortement connexe et a une 
 matrice de Markov doublement stochastique.
 \begin{itemize}
-\item Le marquage est $\epsilon$-stégo sécure.
-\item Le marquage est chaos sécure.
+\item Le marquage est $\epsilon$-stégo sécurisé.
+\item Le marquage est chaos sécurisé.
 \end{itemize}
 \end{theorem}
 \begin{itemize}
 \item Particularisation dans différents domaines (spatial, fréquentiel).
-\item Robustesse evaluée.
+\item Robustesse évaluée.
 \end{itemize}
diff --git a/talk/perspectives.tex b/talk/perspectives.tex
index afd14ae..27d5b5b 100644
--- a/talk/perspectives.tex
+++ b/talk/perspectives.tex
@@ -3,12 +3,10 @@
   \begin{itemize}
   \item S'affranchir de l'algorithme \emph{Robinson-Cohn}: trop restrictif. 
   \item Génération exhaustive de cycles non isomorphes: une forme canonique.
-  \item Equilibre local,  global: conséquences dans un PRNG.
+  \item Équilibre local,  global: conséquences dans un PRNG.
   \end{itemize}
 \item Générateurs de nombres pseudo-aléatoires:
   \begin{itemize}
-  \item Implantation sur FPGA ou ASIC: 
-    comparaison pratique avec l'état de l'art.
   \item S'affranchir du générateur interne.
   \item Majorer finement le délai d'obtention de la distribution uniforme. 
   \item Exploiter le $\textsc{gig}$ à la place du $\textsc{giu}$.
@@ -16,7 +14,7 @@
 \item Masquage d'information:
   \begin{itemize}
   \item Creuser la piste \og Analyse vectorielle\fg{}.
-  \item Steganalyse par Deep Learning: comprendre pourquoi cela marche.
+  \item Stéganalyse par Deep Learning: comprendre pourquoi cela marche.
   \item Tatouage STDM dans un PDF: comment contrer les attaques?
 \end{itemize}
 \end{itemize}
diff --git a/talk/plusqu1bit.tex b/talk/plusqu1bit.tex
index 21a9fb9..78abf7e 100644
--- a/talk/plusqu1bit.tex
+++ b/talk/plusqu1bit.tex
@@ -8,7 +8,7 @@
 \item Stratégie de choix $s_c  \in [\mathsf{P}]^{\Nats} $: 
   indice de l'élément de $m$ embarqué à l'itération $t$.
 \item Stratégie de mélange $s_m \in [\mathsf{P}]^{\Nats}$:
-  élément de $m$ inversé à l'titération $t$.
+  élément de $m$ inversé à l'itération $t$.
 \end{itemize}
 On remplace $x $ par $x^l \in \mathbb{B}^{\mathsf{N}}$ avec 
 $
@@ -39,8 +39,8 @@ est une  condition nécessaire et suffisante
 pour l'extraction du message du média marqué.
 \end{theorem}
 
-\begin{itemize}
-\item  Pratique: mesure de Fermi-Dirac utilisée pour la classification.
-\end{itemize}
+% \begin{itemize}
+% \item  Pratique: mesure de Fermi-Dirac utilisée pour la classification.
+% \end{itemize}
 
 
diff --git a/talk/preuveconvmotiv.tex b/talk/preuveconvmotiv.tex
index f6540e9..0e8c621 100644
--- a/talk/preuveconvmotiv.tex
+++ b/talk/preuveconvmotiv.tex
@@ -2,10 +2,10 @@
 \begin{itemize}
 \item Conditions suffisantes de convergence: facile à appliquer, 
   domaine restreint.
-\item Recherche d'une métrique decroissante minorée: difficile.
+%\item Recherche d'une métrique decroissante minorée: difficile.
 \item Simulations:  
 \begin{itemize}
-\item Non exhaustives pour les schémas généralisés et asynchrones.
+\item Non exhaustives pour les schémas unaires, généralisés, asynchrones\ldots
 \item Verdict $\leftrightarrow$ vérité ssi divergence (contre-exemple).
 \end{itemize}
 \item Souhait: exploiter un outil qui traiterait toutes les transitions.
diff --git a/talk/prnggeneralise.tex b/talk/prnggeneralise.tex
index 49152b8..a42b9df 100644
--- a/talk/prnggeneralise.tex
+++ b/talk/prnggeneralise.tex
@@ -1,26 +1,30 @@
 \begin{block}{}
  \begin{algorithm}[H]
-\KwIn{une fonction $f$, un nombre d'itérations $b$, 
-une configuration initiale $x^0$ (${\mathsf{N}}$ bits)}
-\KwOut{une configuration $x$ (${\mathsf{N}}$ bits)}
-$x\leftarrow x^0$\;
-$k\leftarrow b $\;
-\For{$i=1,\dots,k$}
+\ldots\For{$i=1,\dots,k$}
 {
 $s\leftarrow{\textit{Set}(\textit{Random}(2^{\mathsf{N}}))}$\;
 $x\leftarrow{F_{f_g}(x,s)}$\;
-}
-return $x$\;
+}\ldots
 \end{algorithm}
 \end{block}
 
 \begin{theorem}[Uniformité de la sortie ds le cas généralisé]
-  Soit $f: \Bool^{{\mathsf{N}}} \rightarrow \Bool^{{\mathsf{N}}}$ et
-  $\check{M}$ sa matrice d'adjacence.
+  % Soit $f: \Bool^{{\mathsf{N}}} \rightarrow \Bool^{{\mathsf{N}}}$ et
+  % $\check{M}$ sa matrice d'adjacence.
   Si $\textsc{gig}(f)$ est fortement connexe, alors 
   la sortie du PRNG suit une loi qui 
-  tend vers la distribution uniforme si 
-  et ssi  $\dfrac{1}{2^{\mathsf{N}}} \check{M}
+  tend vers la distribution uniforme 
+  ssi  $\dfrac{1}{2^{\mathsf{N}}} \check{M}
 $ est une matrice doublement stochastique.
 \end{theorem}
 
+\begin{block}{Nombre moyen d'appels à un générateur binaire par bit généré}
+\begin{itemize}
+\item Unaires:$\nearrow$
+\item Généralisées: $\searrow$
+\end{itemize}
+
+
+
+
+\end{block}
diff --git a/talk/prnggeneralise2.tex b/talk/prnggeneralise2.tex
index 9a900d9..229376d 100644
--- a/talk/prnggeneralise2.tex
+++ b/talk/prnggeneralise2.tex
@@ -1,25 +1,33 @@
-\begin{block}{Nombre moyen d'appels à un générateur binaire par bit généré}
-$$
-\begin{array}{|l|l|l|l|l|l|}
-\hline
-\textrm{Itérations} & 4 & 5 & 6 & 7 & 8 \\ 
-\hline
-\textrm{Unaires}         &  19.0 & 22.3  & 23.7 & 25.3 & 27.0\\  
+
+\begin{block}{Bilan d'implantation de PRNGs sur FPGA}
+\begin{center}
+
+\begin{tabular}{|l|l|l|}
+  \cline{2-3}
+\multicolumn{1}{c|}{} & \multicolumn{2}{c|}{Test U01}\\
+  \cline{2-3}
+\multicolumn{1}{c|}{}& \multicolumn{1}{c|}{KO} &  \multicolumn{1}{c|}{OK} \\
 \hline
-\textrm{Généralisées}    &  17   & 13    & 11   & 10   & 9\\
+\multirow{7}{0.3cm}{\begin{turn}{90}Débits (Gb/s)\end{turn}} & Xorshift (8--16) & \\
+& LFSR (6--10) & \onslide<4->{Xor avec 3 PRNGs~\cite{Fang:2014:FAP:2643744.2643848} (8)}\\
+& & \onslide<3->{Hamiltonien, généralisé (2)} \\
+& TGFSR (0.7--1.3) & \\
+& LCG (0.02--0.3) & PCG32 (0.3), MRG32 (0.4) \\
+& & \onslide<2->{Négation, unaire (0.031--3.5)} \\
+& & \onslide<2->{Hamiltonien, unaire (0.05)}\\
 \hline
-\end{array}
-$$
-\end{block}
-
+\end{tabular}
+\end{center}
 
+\onslide<2->{
+Détails d'implantation:
 \begin{itemize}
-\item Fréqence des configurations non accessibles en 1 itération:
- \begin{itemize}
-\item Unaire: $1-\dfrac{n-1}{2^n}$ (croissant).
-\item généralisée: $1/2$ (constant), mais décroissance de la fréquence des 
-  bits constants.
-\end{itemize}
-\item Test de NIST: succès dans tous les cas. 
+\item Stratégie: extraite de XorShift128+.
+\item $\mathsf{N}$: négation (32), unaire (16), \onslide<3->{ généralisé (4$\times$4).} 
+\item Mélange: négation (variable), unaire (190), \onslide<3->{ généralisé (4).} 
 \end{itemize}
+}
+\end{block}
+
+
 
diff --git a/talk/prngunauretheorieok.tex b/talk/prngunauretheorieok.tex
index 38ec70d..e525591 100644
--- a/talk/prngunauretheorieok.tex
+++ b/talk/prngunauretheorieok.tex
@@ -1,14 +1,9 @@
+\vspace{1em}
 \begin{itemize}
-\item Vers une fonction de 
-$\mathcal{X}_u =\Bool^{\mathsf{N}} \times \llbracket1;{\mathsf{N}}\rrbracket^\Nats$ 
-dans lui même~\cite{ccgh16}:
-\begin{itemize}
-\item $F_{f_u}: \Bool^{\mathsf{N}} \times \llbracket1;{\mathsf{N}}\rrbracket \rightarrow \Bool^{\mathsf{N}}$, 
-$(x,i) \mapsto (x_1,\dots,x_{i-1},f_i(x),x_{i+1},\dots,x_{\mathsf{N}})$
-\item $\sigma: \llbracket1;{\mathsf{N}}\rrbracket^\Nats \rightarrow \llbracket1;{\mathsf{N}}\rrbracket^\Nats$ t.q. $\forall t\in\Nats,\sigma(s)_t=s_{t+1}$
-\item $G_{{f_u},b}$ définie par 
-  $G_{{f_u},b}(x,s)=(F_{f_u}( \dots(F_{f_u}(x,s_0),\dots),s_{b-1}),\sigma^b(s))$
-\end{itemize}
+\item $\mathcal{X}_u =\Bool^{\mathsf{N}} \times [{\mathsf{N}}]^\Nats$  et 
+$G_{{f_u},b}:\mathcal{X}_u \rightarrow \mathcal{X}_u$ tq.
+$$
+G_{{f_u},b}(x,s) = (F_{f_u}( \dots(F_{f_u}(x,s_0),\dots),s_{b-1}),\sigma^b(s))$$
 
 \item Distance $d((x,s),(x',s'))= d_H(x,x')+d''_S(s,s')$
 \end{itemize}
@@ -20,55 +15,18 @@ le graphe d'itérations $\textsc{giu}_{b}(f)$
 est fortement connexe.
 \end{theorem}
 
-
-\vspace{-4.5em}
+\vspace{-3em}
 \begin{center}
 \begin{minipage}{0.30\textwidth}
   \begin{center}
-    \includegraphics[scale=0.35]{../images/h2prng}
+    \includegraphics[scale=0.31]{../images/h2prng}
   \end{center}
 \end{minipage}
 \begin{minipage}{0.40\textwidth}
   \begin{center}
-    \includegraphics[scale=0.35]{../images/h3prng}
+    \includegraphics[scale=0.31]{../images/h3prng}
   \end{center}
 \end{minipage}
 \end{center}
 
 
-
-%  \begin{itemize}
-% \item Vers une fonction de 
-%   $\mathcal{X}_u$ dans lui même:
-% \begin{itemize}
-% \item   
-% $F_{{f_u},b} :  \mathds{B}^\mathsf{N} \times [\mathsf{N}]^{b}
-% \rightarrow \mathds{B}^\mathsf{N}$ définie par
-% $
-% F_{f_u,b} (x,(u^1, \hdots, u^{b})) = 
-% F_{f_u}(\hdots (F_{f_u}(x,u^1), \hdots), u^{b}).
-% $
-
-
-
-% \item $\sigma: 
-%  \left(\mathcal{P}(\llbracket 1;{\mathsf{N}}\rrbracket)\right)^{\Nats}
-%  \rightarrow 
-%  \left(\mathcal{P}(\llbracket 1;{\mathsf{N}}\rrbracket)\right)^{\Nats}$
-%  t.q. $\forall t\in\Nats,\sigma(s)_t=s_{t+1}$
-% \item $G_{f_g}$ définie par 
-%    \[
-%   G_{f_g}(x,S)=(F_{f_g}(x,s_0),\sigma(S)),
-%   \] 
-
-% \end{itemize}
-
-% \item Distance $d$: $d((x,s),(x',s'))= d_H(x,x')+d'_S(s,s')$
-% \end{itemize}
-
-% \begin{theorem}[Fonctions t.q.  $G_{f_g}$ est chaotique]
-% \label{Th:CaracIC}  
-% Soit $f:\Bool^{\mathsf{N}}\to\Bool^{\mathsf{N}}$. 
-% Les itérations de la fonction $G_{f_g}$ sont chaotiques  
-% si et seulement si $\textsc{gig}(f)$ est fortement connexe.
-% \end{theorem}
diff --git a/talk/stabylo.tex b/talk/stabylo.tex
index a7e5f45..b5fb306 100644
--- a/talk/stabylo.tex
+++ b/talk/stabylo.tex
@@ -3,7 +3,7 @@
 \begin{itemize}
 \item Objectif: embarquer un message de manière imperceptible.
 \item Méthode:  construction d'une carte de distorsion des éléments modifiables.
-\item Evaluation de la sécurité: étude de la détectabilité par steganalyse. 
+\item Évaluation de la sécurité: étude de la détectabilité par stéganalyse. 
 \end{itemize}
 \end{itemize}
 \vspace{-0.5em}
@@ -14,7 +14,10 @@
   fenêtres.
 \end{itemize}
 
-\vspace{-3em}\begin{center}
-\includegraphics[scale=0.3]{../images/error}
+\vspace{-3em}
+\begin{center}
+\includegraphics[width=0.45\textwidth]{../images/error}
+\qquad
+\includegraphics[width=0.45\textwidth]{complexity.png}
 \end{center}
 \end{block}
diff --git a/talk/steganalyse.png b/talk/steganalyse.png
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diff --git a/talk/synthesescientifique.tex b/talk/synthesescientifique.tex
index 3e3c460..78299af 100644
--- a/talk/synthesescientifique.tex
+++ b/talk/synthesescientifique.tex
@@ -1,8 +1,8 @@
 \begin{itemize}
-\item Etude de convergence des SDDs: un nouveau mode, des preuves écrites, 
-des preuves obtenues gratuitement (SPIN).
+%\item Etude de convergence des SDDs: un nouveau mode, des preuves écrites, 
+%des preuves obtenues gratuitement (SPIN).
 \item Fonctions engendrant des itérations chaotiques: CS sur le graphe 
-  d'interaction, par suppression d'1 cycle hamiltonien équilibré.
+  d'interactions, par suppression d'1 cycle hamiltonien équilibré.
 \item Application aux PRNG: étude théorique et pratique de la sortie 
   en fonction du nombre d'itérations.
 \item Masquage d'information: de la propriété de transitivité du chaos 
diff --git a/talk/tipe12.tex b/talk/tipe12.tex
index afd862c..c98676f 100644
--- a/talk/tipe12.tex
+++ b/talk/tipe12.tex
@@ -35,10 +35,10 @@ Alors, $\textsc{giu}(f)$ est fortement connexe.
   \end{minipage}
 \end{center}
 
-\vspace{-3em}
-\begin{block}{Apprendre un comportement chaotique par MLP~\cite{bcgs12:ij}}
-\begin{itemize}
-\item Il est possible de construire un MLP ayant un comportement chaotique.
-\item Il est difficile pour un MLP d'apprendre des itérations chaotiques.
-\end{itemize}
-\end{block}
+% \vspace{-3em}
+% \begin{block}{Apprendre un comportement chaotique par MLP~\cite{bcgs12:ij}}
+% \begin{itemize}
+% \item Il est possible de construire un MLP ayant un comportement chaotique.
+% \item Il est difficile pour un MLP d'apprendre des itérations chaotiques.
+% \end{itemize}
+% \end{block}
diff --git a/talk/xplprngyestheorieko.tex b/talk/xplprngyestheorieko.tex
index 64ca989..446a036 100644
--- a/talk/xplprngyestheorieko.tex
+++ b/talk/xplprngyestheorieko.tex
@@ -5,7 +5,7 @@
 \begin{minipage}{0.8\textwidth}
 \begin{itemize}
 \item Seules 16 vérifient les hypothèses du théorème précédent.
-\item $b$: nombre d'itérations suffisant pour une déviation p.r. la distribution uniforme inf. à  $10^{-4}$. 
+\item $b$: nombre d'itérations suffisant pour une déviation p.r. la distribution uniforme inf. à  $10^{-4}$ (temps de mélange). 
 
 \begin{center}
   \begin{tiny}
@@ -39,6 +39,6 @@ aux tests  du \emph{National Institute of Standards and Technology} (NIST).
 \item Générateur prouvé chaotique seulement pour $b=1$.
 \item Pas compatible avec la pratique: $b \geq 42$ nécessaire
   pour suivre une loi uniforme (à $10^{-4}$ près).
-\item $\leadsto$ Etendre la théorie.
+\item $\leadsto$ Étendre la théorie.
 \end{itemize}
 \end{itemize}
diff --git a/talk/xplsddasync.tex b/talk/xplsddasync.tex
index 610a1af..ce0075f 100644
--- a/talk/xplsddasync.tex
+++ b/talk/xplsddasync.tex
@@ -5,7 +5,7 @@
     \subfloat[$\textsc{gis}(g)$]{
         \includegraphics[scale=0.30]{../images/para_iterate_dec}
     }\qquad
-    \subfloat[$\textsc{giu}(g)$ (extrait)]{
+    \subfloat[$\textsc{gig}(g)$ (extrait)]{
         \includegraphics[scale=0.30]{../images/chao_iterate_excerpt}
     }
 \caption{Graphes des itérations synchrones}
-- 
2.39.5