From abf0674990823945b38cd1e98104d65adaac51f2 Mon Sep 17 00:00:00 2001
From: Jaron Kent-Dobias <jaron@kent-dobias.com>
Date: Thu, 7 Jul 2022 20:26:03 +0200
Subject: Some various changes, and settled on title.

---
 frsb_kac-rice.tex | 9 ++++-----
 1 file changed, 4 insertions(+), 5 deletions(-)

(limited to 'frsb_kac-rice.tex')

diff --git a/frsb_kac-rice.tex b/frsb_kac-rice.tex
index a7a03cc..3b17093 100644
--- a/frsb_kac-rice.tex
+++ b/frsb_kac-rice.tex
@@ -12,8 +12,7 @@
 ]{hyperref} % ref and cite links with pretty colors
 
 \begin{document}
-\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}
+\title{Full solution for counting stationary points of mean-field complex energy landscapes}
 \author{Jaron Kent-Dobias \& Jorge Kurchan}
 \maketitle
 \begin{abstract}
@@ -39,11 +38,11 @@ of small temperature for the lowest states, as it should.
 To understand the importance of this computation, consider the following situation. When one solves the problem of spheres in large dimensions, one finds that there is
 a transition at a given temperature to a one-step one step symmetry breaking (1RSB) phase at a Kauzmann temperature,
 and, at a lower temperature,
-another  transition to  a full RSB phase (see \cite{gross1985mean,gardner1985spin}, the `Gardner ' phase \cite{charbonneau2014fractal}. 
+another  transition to  a full RSB phase (see \cite{Gross_1985_Mean-field, Gardner_1985_Spin}, the `Gardner ' phase \cite{Charbonneau_2014_Fractal}. 
 Now, this transition involves the lowest, equilibrium states. Because they are
 obviously unreachable at any reasonable timescale, an often addressed question
 to ask is: what is the Gardner transition line for higher than equilibrium
-energy-densities? (see, for a review \cite{berthier2019gardner})  For example,
+energy-densities? (see, for a review \cite{Berthier_2019_Gardner})  For example,
 when studying `jamming' at zero temperature, the question is posed as to "on
 what side of the 1RSB-FRS transition are the high energy (or low density)
 states reachable dynamically.  Posed in this way, such a question does not have
@@ -1081,7 +1080,7 @@ The solution contains valuable geometric information that has yet to be
 extracted in all detail. 
 
 A first and very important application of the method here is to perform the calculation for high dimensional spheres, where it would give us
-a clear understanding of what happens in a low-temperature realistic jamming dynamics \cite{maimbourg2016solution}. 
+a clear understanding of what happens in a low-temperature realistic jamming dynamics \cite{Maimbourg_2016_Solution}. 
 
 \paragraph{Funding information}
 J K-D and J K are supported by the Simons Foundation Grant No. 454943.
-- 
cgit v1.2.3-70-g09d2

