Update on Overleaf.

2 files changed, 32 insertions, 7 deletions

diff --git a/frsb_kac-rice.bib b/frsb_kac-rice.bib
index 27eccde..24ae002 100644
--- a/frsb_kac-rice.bib
+++ b/frsb_kac-rice.bib
@@ -165,5 +165,25 @@
  url = {https://doi.org/10.1103%2Fphysrevx.9.011003},
  doi = {10.1103/physrevx.9.011003}
 }
+@article{bray1980metastable,
+  title={Metastable states in spin glasses},
+  author={Bray, Alan J and Moore, Michael A},
+  journal={Journal of Physics C: Solid State Physics},
+  volume={13},
+  number={19},
+  pages={L469},
+  year={1980},
+  publisher={IOP Publishing}
+}
 
+@article{parisi1979infinite,
+  title={Infinite number of order parameters for spin-glasses},
+  author={Parisi, Giorgio},
+  journal={Physical Review Letters},
+  volume={43},
+  number={23},
+  pages={1754},
+  year={1979},
+  publisher={APS}
+}
 
diff --git a/frsb_kac-rice.tex b/frsb_kac-rice.tex
index df30c38..357f4e6 100644
--- a/frsb_kac-rice.tex
+++ b/frsb_kac-rice.tex
@@ -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?}