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author | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2022-06-06 07:50:02 +0200 |
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committer | Jaron Kent-Dobias <jaron@kent-dobias.com> | 2022-06-06 07:50:02 +0200 |
commit | 34b8275932da89a260c166c0ac441bafcc0f0c90 (patch) | |
tree | d03ecfd2d56e44d07d1819ae9e458b57ce66f9c0 | |
parent | e5aa7f0d9feadfa9e8cfecbff223a6efe375598a (diff) | |
parent | 6b0482b1fef32c18cf5f310381122c36bb828055 (diff) | |
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Merge branch 'master' of https://git.overleaf.com/629a30c097d0b9f4b4f7a69d
-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} |