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@@ -632,18 +632,70 @@ With these constraints in mind, we defined the following metrics:
 \end{description}
 
 
-\subsection{Validation of our approaches}
+\subsection{Experimental results}
 \label{Results}
 
-\begin{figure}
+In this section, the results for the different simulations will be presented,
+and we'll try to explain our observations.
+
+\subsubsection{Cluster vs grid platforms}
+
+As mentioned earlier, we simulated the different algorithms on two kinds of
+physical platforms: clusters and grids.  A first observation that we can make,
+is that the graphs we draw from the data have a similar aspect for the two kinds
+of platforms.  The only noticeable difference is that the algorithms need a bit
+more time to achieve the convergence on the grid platforms, than on clusters.
+Nevertheless their relative performances remain generally identical.
+
+This suggests that the relative performances of the different strategies are not
+influenced by the characteristics of the physical platform.  The differences in
+the convergence times can be explained by the fact that on the grid platforms,
+distant sites are interconnected by links of smaller bandwith.
+
+Therefore, in the following, we'll only discuss the results for the grid
+platforms.  The different results are presented on the
+figures~\ref{fig.results1} and~\ref{fig.resultsN}.
+
+\FIXME{explain how to read the graphs}
+ratio 1:1 not given here
+
+\begin{figure*}[p]
+  \centering
+  \includegraphics[width=.5\linewidth]{data/graphs/R1-1:10-grid-line}%
+  \includegraphics[width=.5\linewidth]{data/graphs/R1-10:1-grid-line}
+  \includegraphics[width=.5\linewidth]{data/graphs/R1-1:10-grid-torus}%
+  \includegraphics[width=.5\linewidth]{data/graphs/R1-10:1-grid-torus}
+  \includegraphics[width=.5\linewidth]{data/graphs/R1-1:10-grid-hcube}%
+  \includegraphics[width=.5\linewidth]{data/graphs/R1-10:1-grid-hcube}
+  \caption{Real mode, initially on an only mode, comp/comm ratio = 1/10 (left), or 10/1 (right).}
+  \label{fig.results1}
+\end{figure*}
+
+\begin{figure*}[p]
   \centering
-  \includegraphics[width=.5\linewidth]{data/graphs/R1-10:1-cluster-line}
-  \includegraphics[width=.5\linewidth]{data/graphs/R1-10:1-cluster-torus}%
-  \hfill%%
-  \includegraphics[width=.5\linewidth]{data/graphs/R1-10:1-cluster-hcube}
-  \caption{Results \textbf{[FIXME]}}
-  \label{fig.results}
-\end{figure}
+  \includegraphics[width=.5\linewidth]{data/graphs/RN-1:10-grid-line}%
+  \includegraphics[width=.5\linewidth]{data/graphs/RN-10:1-grid-line}
+  \includegraphics[width=.5\linewidth]{data/graphs/RN-1:10-grid-torus}%
+  \includegraphics[width=.5\linewidth]{data/graphs/RN-10:1-grid-torus}
+  \includegraphics[width=.5\linewidth]{data/graphs/RN-1:10-grid-hcube}%
+  \includegraphics[width=.5\linewidth]{data/graphs/RN-10:1-grid-hcube}
+  \caption{Real mode, random initial distribution, comp/comm ratio = 1/10 (left), or 10/1 (right).}
+  \label{fig.resultsN}
+\end{figure*}
+
+\subsubsection{Main results}
+
+On fig.~\ref{fig.results1}, \dots
+
+\subsubsection{With the virtual load extension}
+
+\subsubsection{The $k$ parameter}
+
+\subsubsection{With an initial random repartition,  and larger platforms}
+
+\subsubsection{With integer load}
+
+\FIXME{what about the amount of data?}
 
 \begin{itshape}
 \FIXME{remove that part}