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author | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2022-06-05 14:17:49 +0200 |
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committer | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2022-06-05 14:17:49 +0200 |
commit | 19c9be6b1abffa4f900ff33bc774796e910c89b4 (patch) | |
tree | 6f5d6e100d7f2d7057eb7c2e44b6bc3fcfbd8ca0 /frsb_kac-rice.tex | |
parent | 0ecfa0b5cc477a0f9eb62a5aae0e42aeb46bea52 (diff) | |
parent | a7c2783b69c93672c2d97299e4843b45ce1285ac (diff) | |
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Merge branch 'master' of https://git.overleaf.com/629a30c097d0b9f4b4f7a69d
Diffstat (limited to 'frsb_kac-rice.tex')
-rw-r--r-- | frsb_kac-rice.tex | 19 |
1 files changed, 12 insertions, 7 deletions
diff --git a/frsb_kac-rice.tex b/frsb_kac-rice.tex index 316ffda..9e29ee1 100644 --- a/frsb_kac-rice.tex +++ b/frsb_kac-rice.tex @@ -13,14 +13,19 @@ \end{abstract} \section{Introduction} - -Although the Bray-Moore computation for the SK model was the first application of -some replica symmetry breaking scheme, it turned out that the problem has been open +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{bray1980metastable} 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{parisi1979infinite}, the Bray-Moore result + was not exact, and +in fact the problem has been open ever since. - -to this date the program has been only complete for a subset of models - -here we present what we believe is the general scheme +Indeed, to this date the program of computing the number of saddles of a mean-field +glass has been only carried out for a small subset of models. +These include most notable the p-spin model ($p>2$) \cite{rie +In this paper we present what we believe is the general ansatz for the solution. +It includes the Parisi solution as the limit of lowest states, as it should. \subsection{What to expect?} |