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diff --git a/frsb_kac-rice.tex b/frsb_kac-rice.tex index e42046d..c5641a4 100644 --- a/frsb_kac-rice.tex +++ b/frsb_kac-rice.tex @@ -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. |