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| -rw-r--r-- | frsb_kac-rice.tex | 6 |
1 files changed, 3 insertions, 3 deletions
diff --git a/frsb_kac-rice.tex b/frsb_kac-rice.tex index 8896bdc..f3b0558 100644 --- a/frsb_kac-rice.tex +++ b/frsb_kac-rice.tex @@ -17,8 +17,8 @@ or Full solution for the counting of saddles of mean-field glass models} 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{Bray_1980_Metastable} 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{Parisi_1979_Infinite}, the Bray-Moore result + 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{Parisi_1979_Infinite}, the Bray--Moore result was not exact, and in fact the problem has been open ever since. @@ -29,7 +29,7 @@ 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 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. +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} |