+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/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}
