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authorJaron Kent-Dobias <jaron@kent-dobias.com>2022-06-06 07:50:02 +0200
committerJaron Kent-Dobias <jaron@kent-dobias.com>2022-06-06 07:50:02 +0200
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Merge branch 'master' of https://git.overleaf.com/629a30c097d0b9f4b4f7a69d
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+++ 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}