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authorJaron Kent-Dobias <jaron@kent-dobias.com>2022-07-12 14:08:45 +0200
committerJaron Kent-Dobias <jaron@kent-dobias.com>2022-07-12 14:08:45 +0200
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@@ -1261,6 +1261,28 @@ draw two stationary points from the same set with nonzero probability.
Therefore, the picture in this case is of few, large basins each containing
exponentially many stationary points.
+\begin{figure}
+ \centering
+ \includegraphics{figs/cartoon_RS.pdf}
+ \hfill
+ \includegraphics{figs/cartoon_1RSB.pdf}
+ \hfill
+ \includegraphics{figs/cartoon_2RSB.pdf}
+
+ \caption{
+ A cartoon visualizing how to interpret replica symmetry breaking solutions
+ in the complexity. The black region show schematically areas where
+ stationary points of a given energy can be found. Left: When the region
+ is connected, pairs of stationary points exist at any overlap, but the
+ vast majority of pairs are orthogonal. Center: When there are exponentially
+ many disconnected regions of similar size, the vast majority of pairs will
+ be found in different, orthogonal regions. Right: When there are a few
+ large disconnected regions, pairs have a comparable probability to be found
+ in different regions or in the same region. This gives rise to two (or
+ more) possible overlaps.
+ } \label{fig:cartoon}
+\end{figure}
+
\subsection{A concrete example}
One can construct a schematic 2RSB model from two 1RSB models.