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Diffstat (limited to 'frsb_kac-rice.tex')
| -rw-r--r-- | frsb_kac-rice.tex | 7 |
1 files changed, 4 insertions, 3 deletions
diff --git a/frsb_kac-rice.tex b/frsb_kac-rice.tex index a365710..f3b0558 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} |