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@@ -49,17 +49,16 @@ we have emphasized that going to the full replica treatment uncovers a phase-spa
We have thus added the paragraph:
-{\color{red}
+\begin{quote}
Having a full, exact (`quenched') solution of the generic problem is not
primarily a matter of {\em accuracy}.
Very basic structural questions are omitted in the approximate `annealed' solution. What is lost is the nature, at any given
energy (or free energy) level, of the stationary points in a generic energy function: at low energies are they basically all minima, with an exponentially small number of saddles, or
-- as we show here -- do they consist of a mixture of saddles whose index -- the number of unstable directions -- is a smoothly distributed number?
These questions need to be answered for the understanding of the relevance of more complex objects such as
-barrier crossing (which barriers?) \cite{Ros_2019_Complexity, Ros_2021_Dynamical}, or the fate of long-time dynamics
+barrier crossing (which barriers?) \footfullcite{Ros_2019_Complexity, Ros_2021_Dynamical}, or the fate of long-time dynamics
(which end in what kind of target states?).
-
-}
+\end{quote}
Both referees find that our paper is clearly written but technical, and
that its topic of "the different RSB schemes" are not suitable for a
@@ -76,7 +75,7 @@ because it demands of the readers a slightly longer attention span.
\begin{enumerate}
\item PRL has been publishing articles on precisely this problem in the
- last 30 years.\footfullcite{Fyodorov_2004_Complexity, Bray_2007_Statistics, Fyodorov_2012_Critical, Wainrib_2013_Topological}
+ last 30 years.\footfullcite{Fyodorov_2004_Complexity, Bray_2007_Statistics, Fyodorov_2012_Critical, Wainrib_2013_Topological, Dennis_2020_Jamming}
\item These works were often limited by the fact that general landscapes (for
which an annealed solution is not exact) were inaccessible. It is perhaps
true that the final solution of an open problem may often be more technical