Update on Overleaf.

1 files changed, 4 insertions, 3 deletions

diff --git a/frsb_kac-rice.tex b/frsb_kac-rice.tex
index 9698c44..8896bdc 100644
--- a/frsb_kac-rice.tex
+++ b/frsb_kac-rice.tex
@@ -3,7 +3,8 @@
 \usepackage{fullpage,amsmath,amssymb,latexsym,graphicx}
 
 \begin{document}
-\title{Full solution of the Kac--Rice problem for mean-field models}
+\title{Full solution of the Kac--Rice problem for mean-field models.\\
+or Full solution for the counting of saddles of mean-field glass models}
 \author{Jaron Kent-Dobias \& Jorge Kurchan}
 \maketitle
 \begin{abstract}
@@ -27,8 +28,8 @@ These include most notably the $p$-spin model ($p>2$) \cite{Rieger_1992_The, Cri
 The problem of studying the critical points of these landscapes
 has evolved into an active field in probability theory \cite{Auffinger_2012_Random, Auffinger_2013_Complexity, BenArous_2019_Geometry}
 
-In this paper we present what we believe is the general ansatz for the 
-computation of saddles of generic mean-field models,  including the Sherrington-Kirkpatrick model. It incorporates  the Parisi solution as the limit of lowest states, as it should.
+In this paper we present what we argue is the general replica ansatz for the 
+computation of the number of saddles of generic mean-field models,  including the Sherrington-Kirkpatrick model. It incorporates  the Parisi solution as the limit of lowest states, as it should.
 
 
 \section{The model}