Changes based on Urbani's feedback.

1 files changed, 10 insertions, 7 deletions

diff --git a/frsb_kac-rice.tex b/frsb_kac-rice.tex
index 6fbe0fb..873f9ae 100644
--- a/frsb_kac-rice.tex
+++ b/frsb_kac-rice.tex
@@ -84,13 +84,16 @@ Liao_2019_Hierarchical, Dennis_2020_Jamming, Charbonneau_2015_Numerical,
 Li_2021_Determining, Seguin_2016_Experimental, Geirhos_2018_Johari-Goldstein,
 Hammond_2020_Experimental, Albert_2021_Searching} (see, for a review
 \cite{Berthier_2019_Gardner}).  For example, when studying `jamming' at zero
-temperature, the question is posed as `on what side of the 1RSB-FRSB
-transition are high energy (or low density) states reachable dynamically?'
-In the present paper we give a concrete strategy to define unambiguously such
-an issue: we consider the local energy minima at a given energy and study their
-number and other properties: the solution involves a replica-symmetry breaking
-scheme that is well-defined, and corresponds directly to the topological
-characteristics of those minima.
+temperature, the question is posed as `on what side of the 1RSB--FRSB
+transition are high energy (or low density) states reachable dynamically?' One
+approach to answering such questions makes use of `state following,'
+which tracks metastable thermodynamic configurations to their zero temperature
+limit \cite{Rainone_2015_Following, Biroli_2016_Breakdown,
+Rainone_2016_Following, Biroli_2018_Liu-Nagel, Urbani_2017_Shear}.  In the
+present paper we give a purely geometric appoarch: we consider the local energy
+minima at a given energy and study their number and other properties: the
+solution involves a replica-symmetry breaking scheme that is well-defined, and
+corresponds directly to the topological characteristics of those minima.
 
 
 Perhaps the most interesting application of this computation is in the context