From 18353a6c1d3b5e95c7e585ab968db5b6e27ebcd8 Mon Sep 17 00:00:00 2001
From: Jaron Kent-Dobias <jaron@kent-dobias.com>
Date: Tue, 12 Jul 2022 14:08:45 +0200
Subject: Added cartoon.

---
 frsb_kac-rice.tex | 22 ++++++++++++++++++++++
 1 file changed, 22 insertions(+)

(limited to 'frsb_kac-rice.tex')

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.
-- 
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