Update on Overleaf.

1 files changed, 12 insertions, 7 deletions

diff --git a/frsb_kac-rice.tex b/frsb_kac-rice.tex
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@@ -13,14 +13,19 @@
 \end{abstract}
 \section{Introduction}
 
-
-Although the Bray-Moore computation for the SK model was the first application of 
-some replica symmetry breaking scheme, it turned out that the problem has been open 
+The computation of the number of metastable states of mean field spin glasses
+goes back to the beginning of the field. Over forty years ago,
+ Bray and Moore \cite{bray1980metastable} attempted the first calculation for 
+ the Sherrington-Kirkpatrick model, a paper remarkable for being the first practical application of a replica symmetry breaking scheme. As became clear when the actual
+ ground-state of the model was computed by Parisi \cite{parisi1979infinite}, the Bray-Moore result
+ was not exact, and
+in fact  the problem has been open 
 ever since.
-
-to this date the program has been only complete for a subset of models 
-
-here we present what we believe is the general scheme
+Indeed, to this date the program of computing the number of saddles of a mean-field 
+glass has been only  carried out for a small subset of models.
+These include most notable the p-spin model ($p>2$) \cite{rie
+In this paper we present what we believe is the general ansatz for the solution.
+It includes the Parisi solution as the limit of lowest states, as it should.
 
 
 \subsection{What to expect?}