\documentclass[portrait]{seminar}
\usepackage[french]{babel}
\usepackage[T1]{fontenc}
\usepackage{fancybox}
\usepackage[fleqn]{amsmath}
\usepackage{amsfonts}
\usepackage{amsthm}
\usepackage{bbm}
\usepackage{graphicx}


%opening
\title{}
\author{Li-Thiao-T� S�bastien}

\begin{document}

\begin{slide*}
\begin{verbatim}
P1 = [0 1 0;
      0 0 1;
      1 0 0] // matrice circulante
\end{verbatim}
\begin{figure}[ht]
\begin{center}
\includegraphics[width=.9\textwidth]{/home/sayan/dessous.ps}
\end{center}
\end{figure}
\end{slide*}

\begin{slide*}
\begin{verbatim}
P2 = [ 0.9  0.1  0; 
       0    0.9  0.1; 
       0    0    1] 
\end{verbatim}
\begin{figure}[ht]
\begin{center}
\includegraphics[width=.9\textwidth]{/home/sayan/markov/trajectoire2.eps}
\end{center}
\end{figure}
\end{slide*}

\begin{slide*}
\begin{verbatim}
P3 = [0.4  0.6  0.0;
      0.2  0.5  0.3;
      0.1  0.7  0.2;]
// m�t�o   1 neige   2 nuages   3 soleil
\end{verbatim}
\begin{figure}[ht]
\begin{center}
\includegraphics[width=.9\textwidth]{/home/sayan/markov/trajectoire3.eps}
\end{center}
\end{figure}
\end{slide*}

\begin{slide*}
\begin{figure}[ht]
\begin{center}
\includegraphics[width=.6\textwidth]{/home/sayan/markov/int1.eps}
\includegraphics[width=.6\textwidth]{/home/sayan/markov/int2.eps}
\includegraphics[width=.6\textwidth]{/home/sayan/markov/int3.eps}
\end{center}
\end{figure}
\end{slide*}

\begin{slide*}
\begin{verbatim}
-->probap(P1,20) // proba invariante
 ans  =
 
!   0.3333333    0.3333333    0.3333333 !
 
-->probap(P2,20)
 ans  =
 
!   0.0405256    0.1305823    0.8288921 !
 
-->proba(P3,20) // LGN
 ans  =
 
!   0.2299193    0.5545329    0.2155479 !
 
-->probap(P3,20) // Perron Froebenius
 ans  =
 
!   0.2235294    0.5647059    0.2117647 !
\end{verbatim}
\end{slide*}


\begin{slide*}
\begin{figure}[ht]
\begin{center}
\includegraphics[width=.6\textwidth]{/home/sayan/markov/cv1.eps}
\includegraphics[width=.6\textwidth]{/home/sayan/markov/cv2.eps}
\includegraphics[width=.6\textwidth]{/home/sayan/markov/cv3.eps}
\end{center}
\end{figure}
\end{slide*}

\begin{slide*}
\begin{figure}[ht]
\begin{center}
\includegraphics[width=.6\textwidth]{/home/sayan/markov/marche1.eps}
\includegraphics[width=.6\textwidth]{/home/sayan/markov/marche2.eps}
\includegraphics[width=.6\textwidth]{/home/sayan/markov/marche3.eps}
\end{center}
\end{figure}
\end{slide*}

\begin{slide*}
\begin{figure}[ht]
\begin{center}
\includegraphics[width=.6\textwidth]{/home/sayan/markov/marche4.eps}
\includegraphics[width=.6\textwidth]{/home/sayan/markov/marche5.eps}
\includegraphics[width=.6\textwidth]{/home/sayan/markov/marche6.eps}
\end{center}
\end{figure}
\end{slide*}

\end{document}
