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authorJaron Kent-Dobias <jaron@kent-dobias.com>2022-06-06 07:48:50 +0200
committerJaron Kent-Dobias <jaron@kent-dobias.com>2022-06-06 07:48:50 +0200
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@@ -16,8 +16,8 @@
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.
@@ -28,7 +28,7 @@ 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 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.
+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.
\section{The model}